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Finding the Third Proportional to 49,822,965 and 108,712,002

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Solution

The third proportional to 49,822,965 and 108,712,002 is: 237,205,862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,822,965 : 108,712,002 = 108,712,002 : x
  2. Step 2: Convert to fraction form
    49,822,965/108,712,002 = 108,712,002/x
  3. Step 3: Cross multiply
    49,822,965x = 108,712,002 × 108,712,002
  4. Step 4: Simplify right side
    49,822,965x = 11,818,299,378,848,004
  5. Step 5: Solve for x
    x = 11,818,299,378,848,004/49,822,965
  6. Step 6: Final answer
    x = 237,205,862.37

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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.