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Finding the Third Proportional to 296,452,854 and 643,938,394.50

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Solution

The third proportional to 296,452,854 and 643,938,394.50 is: 1,398,727,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,452,854 : 643,938,394.50 = 643,938,394.50 : x
  2. Step 2: Convert to fraction form
    296,452,854/643,938,394.50 = 643,938,394.50/x
  3. Step 3: Cross multiply
    296,452,854x = 643,938,394.50 × 643,938,394.50
  4. Step 4: Simplify right side
    296,452,854x = 414,656,655,911,237,632
  5. Step 5: Solve for x
    x = 414,656,655,911,237,632/296,452,854
  6. Step 6: Final answer
    x = 1,398,727,151.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.