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Finding the Third Proportional to 57,465,899.50 and 127,686,382.50

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Solution

The third proportional to 57,465,899.50 and 127,686,382.50 is: 283,712,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,465,899.50 : 127,686,382.50 = 127,686,382.50 : x
  2. Step 2: Convert to fraction form
    57,465,899.50/127,686,382.50 = 127,686,382.50/x
  3. Step 3: Cross multiply
    57,465,899.50x = 127,686,382.50 × 127,686,382.50
  4. Step 4: Simplify right side
    57,465,899.50x = 16,303,812,275,936,306
  5. Step 5: Solve for x
    x = 16,303,812,275,936,306/57,465,899.50
  6. Step 6: Final answer
    x = 283,712,817.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.