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Finding the Third Proportional to 2,920,195,387,998.60 and 4,292,816,764,078.20

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Solution

The third proportional to 2,920,195,387,998.60 and 4,292,816,764,078.20 is: 6,310,631,078,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920,195,387,998.60 : 4,292,816,764,078.20 = 4,292,816,764,078.20 : x
  2. Step 2: Convert to fraction form
    2,920,195,387,998.60/4,292,816,764,078.20 = 4,292,816,764,078.20/x
  3. Step 3: Cross multiply
    2,920,195,387,998.60x = 4,292,816,764,078.20 × 4,292,816,764,078.20
  4. Step 4: Simplify right side
    2,920,195,387,998.60x = 18,428,275,769,950,829,285,474,304
  5. Step 5: Solve for x
    x = 18,428,275,769,950,829,285,474,304/2,920,195,387,998.60
  6. Step 6: Final answer
    x = 6,310,631,078,210.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.