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Finding the Third Proportional to 19,417,506.50 and 41,861,253.50

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Solution

The third proportional to 19,417,506.50 and 41,861,253.50 is: 90,246,631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,417,506.50 : 41,861,253.50 = 41,861,253.50 : x
  2. Step 2: Convert to fraction form
    19,417,506.50/41,861,253.50 = 41,861,253.50/x
  3. Step 3: Cross multiply
    19,417,506.50x = 41,861,253.50 × 41,861,253.50
  4. Step 4: Simplify right side
    19,417,506.50x = 1,752,364,544,591,262.25
  5. Step 5: Solve for x
    x = 1,752,364,544,591,262.25/19,417,506.50
  6. Step 6: Final answer
    x = 90,246,631.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.