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Finding the Third Proportional to 19,894,534 and 31,635,279

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Solution

The third proportional to 19,894,534 and 31,635,279 is: 50,304,816.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894,534 : 31,635,279 = 31,635,279 : x
  2. Step 2: Convert to fraction form
    19,894,534/31,635,279 = 31,635,279/x
  3. Step 3: Cross multiply
    19,894,534x = 31,635,279 × 31,635,279
  4. Step 4: Simplify right side
    19,894,534x = 1,000,790,877,407,841
  5. Step 5: Solve for x
    x = 1,000,790,877,407,841/19,894,534
  6. Step 6: Final answer
    x = 50,304,816.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.