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Finding the Third Proportional to 293,965,092 and 641,721,636

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Solution

The third proportional to 293,965,092 and 641,721,636 is: 1,400,869,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,965,092 : 641,721,636 = 641,721,636 : x
  2. Step 2: Convert to fraction form
    293,965,092/641,721,636 = 641,721,636/x
  3. Step 3: Cross multiply
    293,965,092x = 641,721,636 × 641,721,636
  4. Step 4: Simplify right side
    293,965,092x = 411,806,658,110,516,480
  5. Step 5: Solve for x
    x = 411,806,658,110,516,480/293,965,092
  6. Step 6: Final answer
    x = 1,400,869,250.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.