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Finding the Third Proportional to 353,781,960 and 765,513,264

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Solution

The third proportional to 353,781,960 and 765,513,264 is: 1,656,417,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,781,960 : 765,513,264 = 765,513,264 : x
  2. Step 2: Convert to fraction form
    353,781,960/765,513,264 = 765,513,264/x
  3. Step 3: Cross multiply
    353,781,960x = 765,513,264 × 765,513,264
  4. Step 4: Simplify right side
    353,781,960x = 586,010,557,359,933,696
  5. Step 5: Solve for x
    x = 586,010,557,359,933,696/353,781,960
  6. Step 6: Final answer
    x = 1,656,417,295.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.