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Finding the Third Proportional to 43,767,071 and 68,655,180

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Solution

The third proportional to 43,767,071 and 68,655,180 is: 107,695,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,767,071 : 68,655,180 = 68,655,180 : x
  2. Step 2: Convert to fraction form
    43,767,071/68,655,180 = 68,655,180/x
  3. Step 3: Cross multiply
    43,767,071x = 68,655,180 × 68,655,180
  4. Step 4: Simplify right side
    43,767,071x = 4,713,533,740,832,400
  5. Step 5: Solve for x
    x = 4,713,533,740,832,400/43,767,071
  6. Step 6: Final answer
    x = 107,695,891.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.