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Finding the Third Proportional to 9,214,616.25 and 19,995,574.50

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Solution

The third proportional to 9,214,616.25 and 19,995,574.50 is: 43,390,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214,616.25 : 19,995,574.50 = 19,995,574.50 : x
  2. Step 2: Convert to fraction form
    9,214,616.25/19,995,574.50 = 19,995,574.50/x
  3. Step 3: Cross multiply
    9,214,616.25x = 19,995,574.50 × 19,995,574.50
  4. Step 4: Simplify right side
    9,214,616.25x = 399,822,999,585,050.25
  5. Step 5: Solve for x
    x = 399,822,999,585,050.25/9,214,616.25
  6. Step 6: Final answer
    x = 43,390,086.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.