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Finding the Third Proportional to 67,901,637 and 107,696,201

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Solution

The third proportional to 67,901,637 and 107,696,201 is: 170,812,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,901,637 : 107,696,201 = 107,696,201 : x
  2. Step 2: Convert to fraction form
    67,901,637/107,696,201 = 107,696,201/x
  3. Step 3: Cross multiply
    67,901,637x = 107,696,201 × 107,696,201
  4. Step 4: Simplify right side
    67,901,637x = 11,598,471,709,832,400
  5. Step 5: Solve for x
    x = 11,598,471,709,832,400/67,901,637
  6. Step 6: Final answer
    x = 170,812,843.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.