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Finding the Third Proportional to 9,955,100 and 15,829,230

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Solution

The third proportional to 9,955,100 and 15,829,230 is: 25,169,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955,100 : 15,829,230 = 15,829,230 : x
  2. Step 2: Convert to fraction form
    9,955,100/15,829,230 = 15,829,230/x
  3. Step 3: Cross multiply
    9,955,100x = 15,829,230 × 15,829,230
  4. Step 4: Simplify right side
    9,955,100x = 250,564,522,392,900
  5. Step 5: Solve for x
    x = 250,564,522,392,900/9,955,100
  6. Step 6: Final answer
    x = 25,169,463.13

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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.