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Finding the Third Proportional to 4,386,314.25 and 9,781,184.25

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Solution

The third proportional to 4,386,314.25 and 9,781,184.25 is: 21,811,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386,314.25 : 9,781,184.25 = 9,781,184.25 : x
  2. Step 2: Convert to fraction form
    4,386,314.25/9,781,184.25 = 9,781,184.25/x
  3. Step 3: Cross multiply
    4,386,314.25x = 9,781,184.25 × 9,781,184.25
  4. Step 4: Simplify right side
    4,386,314.25x = 95,671,565,332,448.06
  5. Step 5: Solve for x
    x = 95,671,565,332,448.06/4,386,314.25
  6. Step 6: Final answer
    x = 21,811,379.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.