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Finding the Third Proportional to 2,394,309,750 and 5,594,187,934.50

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Solution

The third proportional to 2,394,309,750 and 5,594,187,934.50 is: 13,070,547,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394,309,750 : 5,594,187,934.50 = 5,594,187,934.50 : x
  2. Step 2: Convert to fraction form
    2,394,309,750/5,594,187,934.50 = 5,594,187,934.50/x
  3. Step 3: Cross multiply
    2,394,309,750x = 5,594,187,934.50 × 5,594,187,934.50
  4. Step 4: Simplify right side
    2,394,309,750x = 31,294,938,646,505,377,792
  5. Step 5: Solve for x
    x = 31,294,938,646,505,377,792/2,394,309,750
  6. Step 6: Final answer
    x = 13,070,547,219.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.