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Finding the Third Proportional to 11,300,691 and 24,527,853.75

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Solution

The third proportional to 11,300,691 and 24,527,853.75 is: 53,237,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300,691 : 24,527,853.75 = 24,527,853.75 : x
  2. Step 2: Convert to fraction form
    11,300,691/24,527,853.75 = 24,527,853.75/x
  3. Step 3: Cross multiply
    11,300,691x = 24,527,853.75 × 24,527,853.75
  4. Step 4: Simplify right side
    11,300,691x = 601,615,609,581,389
  5. Step 5: Solve for x
    x = 601,615,609,581,389/11,300,691
  6. Step 6: Final answer
    x = 53,237,063.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.