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Finding the Third Proportional to 9,832,098 and 14,884,785

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Solution

The third proportional to 9,832,098 and 14,884,785 is: 22,534,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832,098 : 14,884,785 = 14,884,785 : x
  2. Step 2: Convert to fraction form
    9,832,098/14,884,785 = 14,884,785/x
  3. Step 3: Cross multiply
    9,832,098x = 14,884,785 × 14,884,785
  4. Step 4: Simplify right side
    9,832,098x = 221,556,824,496,225
  5. Step 5: Solve for x
    x = 221,556,824,496,225/9,832,098
  6. Step 6: Final answer
    x = 22,534,033.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.