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Finding the Third Proportional to 49,127,164.50 and 77,056,563

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Solution

The third proportional to 49,127,164.50 and 77,056,563 is: 120,864,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,127,164.50 : 77,056,563 = 77,056,563 : x
  2. Step 2: Convert to fraction form
    49,127,164.50/77,056,563 = 77,056,563/x
  3. Step 3: Cross multiply
    49,127,164.50x = 77,056,563 × 77,056,563
  4. Step 4: Simplify right side
    49,127,164.50x = 5,937,713,901,372,969
  5. Step 5: Solve for x
    x = 5,937,713,901,372,969/49,127,164.50
  6. Step 6: Final answer
    x = 120,864,168.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.