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Finding the Third Proportional to 34,947,851.25 and 52,118,713.50

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Solution

The third proportional to 34,947,851.25 and 52,118,713.50 is: 77,726,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,947,851.25 : 52,118,713.50 = 52,118,713.50 : x
  2. Step 2: Convert to fraction form
    34,947,851.25/52,118,713.50 = 52,118,713.50/x
  3. Step 3: Cross multiply
    34,947,851.25x = 52,118,713.50 × 52,118,713.50
  4. Step 4: Simplify right side
    34,947,851.25x = 2,716,360,296,895,082
  5. Step 5: Solve for x
    x = 2,716,360,296,895,082/34,947,851.25
  6. Step 6: Final answer
    x = 77,726,103.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.