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Finding the Third Proportional to 2,516,051 and 5,430,467

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Solution

The third proportional to 2,516,051 and 5,430,467 is: 11,720,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516,051 : 5,430,467 = 5,430,467 : x
  2. Step 2: Convert to fraction form
    2,516,051/5,430,467 = 5,430,467/x
  3. Step 3: Cross multiply
    2,516,051x = 5,430,467 × 5,430,467
  4. Step 4: Simplify right side
    2,516,051x = 29,489,971,838,089
  5. Step 5: Solve for x
    x = 29,489,971,838,089/2,516,051
  6. Step 6: Final answer
    x = 11,720,736.92

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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.