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Finding the Third Proportional to 8,461,740.94 and 18,270,127.13

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Solution

The third proportional to 8,461,740.94 and 18,270,127.13 is: 39,447,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,740.94 : 18,270,127.13 = 18,270,127.13 : x
  2. Step 2: Convert to fraction form
    8,461,740.94/18,270,127.13 = 18,270,127.13/x
  3. Step 3: Cross multiply
    8,461,740.94x = 18,270,127.13 × 18,270,127.13
  4. Step 4: Simplify right side
    8,461,740.94x = 333,797,545,163,660.75
  5. Step 5: Solve for x
    x = 333,797,545,163,660.75/8,461,740.94
  6. Step 6: Final answer
    x = 39,447,856.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.