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Finding the Third Proportional to 9,955,102 and 15,829,233

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Solution

The third proportional to 9,955,102 and 15,829,233 is: 25,169,467.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955,102 : 15,829,233 = 15,829,233 : x
  2. Step 2: Convert to fraction form
    9,955,102/15,829,233 = 15,829,233/x
  3. Step 3: Cross multiply
    9,955,102x = 15,829,233 × 15,829,233
  4. Step 4: Simplify right side
    9,955,102x = 250,564,617,368,289
  5. Step 5: Solve for x
    x = 250,564,617,368,289/9,955,102
  6. Step 6: Final answer
    x = 25,169,467.61

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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.