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Finding the Third Proportional to 2,513,139 and 5,487,151

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Solution

The third proportional to 2,513,139 and 5,487,151 is: 11,980,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513,139 : 5,487,151 = 5,487,151 : x
  2. Step 2: Convert to fraction form
    2,513,139/5,487,151 = 5,487,151/x
  3. Step 3: Cross multiply
    2,513,139x = 5,487,151 × 5,487,151
  4. Step 4: Simplify right side
    2,513,139x = 30,108,826,096,801
  5. Step 5: Solve for x
    x = 30,108,826,096,801/2,513,139
  6. Step 6: Final answer
    x = 11,980,565.38

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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.