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Finding the Third Proportional to 13,948,298 and 30,098,494

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Solution

The third proportional to 13,948,298 and 30,098,494 is: 64,948,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948,298 : 30,098,494 = 30,098,494 : x
  2. Step 2: Convert to fraction form
    13,948,298/30,098,494 = 30,098,494/x
  3. Step 3: Cross multiply
    13,948,298x = 30,098,494 × 30,098,494
  4. Step 4: Simplify right side
    13,948,298x = 905,919,341,068,036
  5. Step 5: Solve for x
    x = 905,919,341,068,036/13,948,298
  6. Step 6: Final answer
    x = 64,948,378.72

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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.