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Finding the Third Proportional to 5,761,470 and 12,416,151

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Solution

The third proportional to 5,761,470 and 12,416,151 is: 26,757,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761,470 : 12,416,151 = 12,416,151 : x
  2. Step 2: Convert to fraction form
    5,761,470/12,416,151 = 12,416,151/x
  3. Step 3: Cross multiply
    5,761,470x = 12,416,151 × 12,416,151
  4. Step 4: Simplify right side
    5,761,470x = 154,160,805,654,801
  5. Step 5: Solve for x
    x = 154,160,805,654,801/5,761,470
  6. Step 6: Final answer
    x = 26,757,200.10

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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.