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Finding the Third Proportional to 42,791,935.50 and 65,006,205.75

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Solution

The third proportional to 42,791,935.50 and 65,006,205.75 is: 98,752,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,791,935.50 : 65,006,205.75 = 65,006,205.75 : x
  2. Step 2: Convert to fraction form
    42,791,935.50/65,006,205.75 = 65,006,205.75/x
  3. Step 3: Cross multiply
    42,791,935.50x = 65,006,205.75 × 65,006,205.75
  4. Step 4: Simplify right side
    42,791,935.50x = 4,225,806,786,011,333
  5. Step 5: Solve for x
    x = 4,225,806,786,011,333/42,791,935.50
  6. Step 6: Final answer
    x = 98,752,410.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.