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Finding the Third Proportional to 642,452,682 and 866,819,504

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Solution

The third proportional to 642,452,682 and 866,819,504 is: 1,169,543,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,452,682 : 866,819,504 = 866,819,504 : x
  2. Step 2: Convert to fraction form
    642,452,682/866,819,504 = 866,819,504/x
  3. Step 3: Cross multiply
    642,452,682x = 866,819,504 × 866,819,504
  4. Step 4: Simplify right side
    642,452,682x = 751,376,052,514,806,016
  5. Step 5: Solve for x
    x = 751,376,052,514,806,016/642,452,682
  6. Step 6: Final answer
    x = 1,169,543,024.05

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Why These Related Problems?

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