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Finding the Third Proportional to 48,451,654 and 74,473,696

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Solution

The third proportional to 48,451,654 and 74,473,696 is: 114,471,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,451,654 : 74,473,696 = 74,473,696 : x
  2. Step 2: Convert to fraction form
    48,451,654/74,473,696 = 74,473,696/x
  3. Step 3: Cross multiply
    48,451,654x = 74,473,696 × 74,473,696
  4. Step 4: Simplify right side
    48,451,654x = 5,546,331,395,900,416
  5. Step 5: Solve for x
    x = 5,546,331,395,900,416/48,451,654
  6. Step 6: Final answer
    x = 114,471,456.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.