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Finding the Third Proportional to 34,760,382 and 47,337,707.25

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Solution

The third proportional to 34,760,382 and 47,337,707.25 is: 64,465,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,760,382 : 47,337,707.25 = 47,337,707.25 : x
  2. Step 2: Convert to fraction form
    34,760,382/47,337,707.25 = 47,337,707.25/x
  3. Step 3: Cross multiply
    34,760,382x = 47,337,707.25 × 47,337,707.25
  4. Step 4: Simplify right side
    34,760,382x = 2,240,858,527,686,702.50
  5. Step 5: Solve for x
    x = 2,240,858,527,686,702.50/34,760,382
  6. Step 6: Final answer
    x = 64,465,877.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.