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Finding the Third Proportional to 642,452,644 and 866,819,466

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Solution

The third proportional to 642,452,644 and 866,819,466 is: 1,169,542,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,452,644 : 866,819,466 = 866,819,466 : x
  2. Step 2: Convert to fraction form
    642,452,644/866,819,466 = 866,819,466/x
  3. Step 3: Cross multiply
    642,452,644x = 866,819,466 × 866,819,466
  4. Step 4: Simplify right side
    642,452,644x = 751,375,986,636,525,184
  5. Step 5: Solve for x
    x = 751,375,986,636,525,184/642,452,644
  6. Step 6: Final answer
    x = 1,169,542,990.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.