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Finding the Third Proportional to 7,951,117 and 17,464,254

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Solution

The third proportional to 7,951,117 and 17,464,254 is: 38,359,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951,117 : 17,464,254 = 17,464,254 : x
  2. Step 2: Convert to fraction form
    7,951,117/17,464,254 = 17,464,254/x
  3. Step 3: Cross multiply
    7,951,117x = 17,464,254 × 17,464,254
  4. Step 4: Simplify right side
    7,951,117x = 305,000,167,776,516
  5. Step 5: Solve for x
    x = 305,000,167,776,516/7,951,117
  6. Step 6: Final answer
    x = 38,359,411.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.