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Finding the Third Proportional to 9,947,434.50 and 15,817,963.50

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Solution

The third proportional to 9,947,434.50 and 15,817,963.50 is: 25,153,015.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947,434.50 : 15,817,963.50 = 15,817,963.50 : x
  2. Step 2: Convert to fraction form
    9,947,434.50/15,817,963.50 = 15,817,963.50/x
  3. Step 3: Cross multiply
    9,947,434.50x = 15,817,963.50 × 15,817,963.50
  4. Step 4: Simplify right side
    9,947,434.50x = 250,207,969,287,332.25
  5. Step 5: Solve for x
    x = 250,207,969,287,332.25/9,947,434.50
  6. Step 6: Final answer
    x = 25,153,015.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.