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Finding the Third Proportional to 426,339,618.75 and 642,658,708.13

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Solution

The third proportional to 426,339,618.75 and 642,658,708.13 is: 968,735,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,339,618.75 : 642,658,708.13 = 642,658,708.13 : x
  2. Step 2: Convert to fraction form
    426,339,618.75/642,658,708.13 = 642,658,708.13/x
  3. Step 3: Cross multiply
    426,339,618.75x = 642,658,708.13 × 642,658,708.13
  4. Step 4: Simplify right side
    426,339,618.75x = 413,010,215,128,893,952
  5. Step 5: Solve for x
    x = 413,010,215,128,893,952/426,339,618.75
  6. Step 6: Final answer
    x = 968,735,245.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.