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Finding the Third Proportional to 3,668,024,816 and 8,056,642,984

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Solution

The third proportional to 3,668,024,816 and 8,056,642,984 is: 17,696,035,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,024,816 : 8,056,642,984 = 8,056,642,984 : x
  2. Step 2: Convert to fraction form
    3,668,024,816/8,056,642,984 = 8,056,642,984/x
  3. Step 3: Cross multiply
    3,668,024,816x = 8,056,642,984 × 8,056,642,984
  4. Step 4: Simplify right side
    3,668,024,816x = 64,909,496,171,636,424,704
  5. Step 5: Solve for x
    x = 64,909,496,171,636,424,704/3,668,024,816
  6. Step 6: Final answer
    x = 17,696,035,176.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.