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Finding the Third Proportional to 40,514,912 and 93,711,512

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Solution

The third proportional to 40,514,912 and 93,711,512 is: 216,755,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,514,912 : 93,711,512 = 93,711,512 : x
  2. Step 2: Convert to fraction form
    40,514,912/93,711,512 = 93,711,512/x
  3. Step 3: Cross multiply
    40,514,912x = 93,711,512 × 93,711,512
  4. Step 4: Simplify right side
    40,514,912x = 8,781,847,481,326,144
  5. Step 5: Solve for x
    x = 8,781,847,481,326,144/40,514,912
  6. Step 6: Final answer
    x = 216,755,931.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.