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Finding the Third Proportional to 13,565,234 and 29,486,596

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Solution

The third proportional to 13,565,234 and 29,486,596 is: 64,094,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565,234 : 29,486,596 = 29,486,596 : x
  2. Step 2: Convert to fraction form
    13,565,234/29,486,596 = 29,486,596/x
  3. Step 3: Cross multiply
    13,565,234x = 29,486,596 × 29,486,596
  4. Step 4: Simplify right side
    13,565,234x = 869,459,343,667,216
  5. Step 5: Solve for x
    x = 869,459,343,667,216/13,565,234
  6. Step 6: Final answer
    x = 64,094,680.83

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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.