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Finding the Third Proportional to 353,781,992 and 765,513,328

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Solution

The third proportional to 353,781,992 and 765,513,328 is: 1,656,417,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,781,992 : 765,513,328 = 765,513,328 : x
  2. Step 2: Convert to fraction form
    353,781,992/765,513,328 = 765,513,328/x
  3. Step 3: Cross multiply
    353,781,992x = 765,513,328 × 765,513,328
  4. Step 4: Simplify right side
    353,781,992x = 586,010,655,345,635,584
  5. Step 5: Solve for x
    x = 586,010,655,345,635,584/353,781,992
  6. Step 6: Final answer
    x = 1,656,417,422.59

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