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Finding the Third Proportional to 13,924,624 and 20,280,984

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Solution

The third proportional to 13,924,624 and 20,280,984 is: 29,538,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924,624 : 20,280,984 = 20,280,984 : x
  2. Step 2: Convert to fraction form
    13,924,624/20,280,984 = 20,280,984/x
  3. Step 3: Cross multiply
    13,924,624x = 20,280,984 × 20,280,984
  4. Step 4: Simplify right side
    13,924,624x = 411,318,312,008,256
  5. Step 5: Solve for x
    x = 411,318,312,008,256/13,924,624
  6. Step 6: Final answer
    x = 29,538,916.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.