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Finding the Third Proportional to 13,924,480 and 21,287,032

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Solution

The third proportional to 13,924,480 and 21,287,032 is: 32,542,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924,480 : 21,287,032 = 21,287,032 : x
  2. Step 2: Convert to fraction form
    13,924,480/21,287,032 = 21,287,032/x
  3. Step 3: Cross multiply
    13,924,480x = 21,287,032 × 21,287,032
  4. Step 4: Simplify right side
    13,924,480x = 453,137,731,369,024
  5. Step 5: Solve for x
    x = 453,137,731,369,024/13,924,480
  6. Step 6: Final answer
    x = 32,542,524.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.