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Finding the Third Proportional to 9,864,964.69 and 14,498,488.69

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Solution

The third proportional to 9,864,964.69 and 14,498,488.69 is: 21,308,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864,964.69 : 14,498,488.69 = 14,498,488.69 : x
  2. Step 2: Convert to fraction form
    9,864,964.69/14,498,488.69 = 14,498,488.69/x
  3. Step 3: Cross multiply
    9,864,964.69x = 14,498,488.69 × 14,498,488.69
  4. Step 4: Simplify right side
    9,864,964.69x = 210,206,174,221,565.47
  5. Step 5: Solve for x
    x = 210,206,174,221,565.47/9,864,964.69
  6. Step 6: Final answer
    x = 21,308,355.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.