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Finding the Third Proportional to 19,894,425.75 and 31,635,117

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Solution

The third proportional to 19,894,425.75 and 31,635,117 is: 50,304,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894,425.75 : 31,635,117 = 31,635,117 : x
  2. Step 2: Convert to fraction form
    19,894,425.75/31,635,117 = 31,635,117/x
  3. Step 3: Cross multiply
    19,894,425.75x = 31,635,117 × 31,635,117
  4. Step 4: Simplify right side
    19,894,425.75x = 1,000,780,627,603,689
  5. Step 5: Solve for x
    x = 1,000,780,627,603,689/19,894,425.75
  6. Step 6: Final answer
    x = 50,304,574.77

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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.