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Finding the Third Proportional to 32,056,895 and 49,655,366

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Solution

The third proportional to 32,056,895 and 49,655,366 is: 76,914,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,056,895 : 49,655,366 = 49,655,366 : x
  2. Step 2: Convert to fraction form
    32,056,895/49,655,366 = 49,655,366/x
  3. Step 3: Cross multiply
    32,056,895x = 49,655,366 × 49,655,366
  4. Step 4: Simplify right side
    32,056,895x = 2,465,655,372,593,956
  5. Step 5: Solve for x
    x = 2,465,655,372,593,956/32,056,895
  6. Step 6: Final answer
    x = 76,914,977.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.