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Finding the Third Proportional to 9,106,542 and 18,578,876.63

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Solution

The third proportional to 9,106,542 and 18,578,876.63 is: 37,904,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106,542 : 18,578,876.63 = 18,578,876.63 : x
  2. Step 2: Convert to fraction form
    9,106,542/18,578,876.63 = 18,578,876.63/x
  3. Step 3: Cross multiply
    9,106,542x = 18,578,876.63 × 18,578,876.63
  4. Step 4: Simplify right side
    9,106,542x = 345,174,656,646,971.38
  5. Step 5: Solve for x
    x = 345,174,656,646,971.38/9,106,542
  6. Step 6: Final answer
    x = 37,904,031.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.