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Finding the Third Proportional to 52,616,076.19 and 82,654,042.78

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Solution

The third proportional to 52,616,076.19 and 82,654,042.78 is: 129,840,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,616,076.19 : 82,654,042.78 = 82,654,042.78 : x
  2. Step 2: Convert to fraction form
    52,616,076.19/82,654,042.78 = 82,654,042.78/x
  3. Step 3: Cross multiply
    52,616,076.19x = 82,654,042.78 × 82,654,042.78
  4. Step 4: Simplify right side
    52,616,076.19x = 6,831,690,788,084,705
  5. Step 5: Solve for x
    x = 6,831,690,788,084,705/52,616,076.19
  6. Step 6: Final answer
    x = 129,840,369.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.