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Finding the Third Proportional to 7,565,238 and 16,416,432

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Solution

The third proportional to 7,565,238 and 16,416,432 is: 35,623,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565,238 : 16,416,432 = 16,416,432 : x
  2. Step 2: Convert to fraction form
    7,565,238/16,416,432 = 16,416,432/x
  3. Step 3: Cross multiply
    7,565,238x = 16,416,432 × 16,416,432
  4. Step 4: Simplify right side
    7,565,238x = 269,499,239,610,624
  5. Step 5: Solve for x
    x = 269,499,239,610,624/7,565,238
  6. Step 6: Final answer
    x = 35,623,365.66

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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.