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Finding the Third Proportional to 124,781,834 and 269,293,420

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Solution

The third proportional to 124,781,834 and 269,293,420 is: 581,165,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,781,834 : 269,293,420 = 269,293,420 : x
  2. Step 2: Convert to fraction form
    124,781,834/269,293,420 = 269,293,420/x
  3. Step 3: Cross multiply
    124,781,834x = 269,293,420 × 269,293,420
  4. Step 4: Simplify right side
    124,781,834x = 72,518,946,055,296,400
  5. Step 5: Solve for x
    x = 72,518,946,055,296,400/124,781,834
  6. Step 6: Final answer
    x = 581,165,893.55

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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.