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Finding the Third Proportional to 22,709,901.75 and 49,253,069.25

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Solution

The third proportional to 22,709,901.75 and 49,253,069.25 is: 106,819,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709,901.75 : 49,253,069.25 = 49,253,069.25 : x
  2. Step 2: Convert to fraction form
    22,709,901.75/49,253,069.25 = 49,253,069.25/x
  3. Step 3: Cross multiply
    22,709,901.75x = 49,253,069.25 × 49,253,069.25
  4. Step 4: Simplify right side
    22,709,901.75x = 2,425,864,830,545,295.50
  5. Step 5: Solve for x
    x = 2,425,864,830,545,295.50/22,709,901.75
  6. Step 6: Final answer
    x = 106,819,697.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.