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Finding the Third Proportional to 357,645,384 and 782,241,552

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Solution

The third proportional to 357,645,384 and 782,241,552 is: 1,710,917,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,645,384 : 782,241,552 = 782,241,552 : x
  2. Step 2: Convert to fraction form
    357,645,384/782,241,552 = 782,241,552/x
  3. Step 3: Cross multiply
    357,645,384x = 782,241,552 × 782,241,552
  4. Step 4: Simplify right side
    357,645,384x = 611,901,845,675,368,704
  5. Step 5: Solve for x
    x = 611,901,845,675,368,704/357,645,384
  6. Step 6: Final answer
    x = 1,710,917,777.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.