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Finding the Third Proportional to 49,768,494.61 and 77,273,041.92

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Solution

The third proportional to 49,768,494.61 and 77,273,041.92 is: 119,977,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,768,494.61 : 77,273,041.92 = 77,273,041.92 : x
  2. Step 2: Convert to fraction form
    49,768,494.61/77,273,041.92 = 77,273,041.92/x
  3. Step 3: Cross multiply
    49,768,494.61x = 77,273,041.92 × 77,273,041.92
  4. Step 4: Simplify right side
    49,768,494.61x = 5,971,123,007,859,388
  5. Step 5: Solve for x
    x = 5,971,123,007,859,388/49,768,494.61
  6. Step 6: Final answer
    x = 119,977,971.10

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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.