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Finding the Third Proportional to 49,430,982 and 107,649,654

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Solution

The third proportional to 49,430,982 and 107,649,654 is: 234,436,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,430,982 : 107,649,654 = 107,649,654 : x
  2. Step 2: Convert to fraction form
    49,430,982/107,649,654 = 107,649,654/x
  3. Step 3: Cross multiply
    49,430,982x = 107,649,654 × 107,649,654
  4. Step 4: Simplify right side
    49,430,982x = 11,588,448,006,319,716
  5. Step 5: Solve for x
    x = 11,588,448,006,319,716/49,430,982
  6. Step 6: Final answer
    x = 234,436,936.87

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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.