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Finding the Third Proportional to 12,476,101 and 27,149,090

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Solution

The third proportional to 12,476,101 and 27,149,090 is: 59,078,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476,101 : 27,149,090 = 27,149,090 : x
  2. Step 2: Convert to fraction form
    12,476,101/27,149,090 = 27,149,090/x
  3. Step 3: Cross multiply
    12,476,101x = 27,149,090 × 27,149,090
  4. Step 4: Simplify right side
    12,476,101x = 737,073,087,828,100
  5. Step 5: Solve for x
    x = 737,073,087,828,100/12,476,101
  6. Step 6: Final answer
    x = 59,078,800.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.