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Finding the Third Proportional to 4,386,319 and 9,781,193

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Solution

The third proportional to 4,386,319 and 9,781,193 is: 21,811,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386,319 : 9,781,193 = 9,781,193 : x
  2. Step 2: Convert to fraction form
    4,386,319/9,781,193 = 9,781,193/x
  3. Step 3: Cross multiply
    4,386,319x = 9,781,193 × 9,781,193
  4. Step 4: Simplify right side
    4,386,319x = 95,671,736,503,249
  5. Step 5: Solve for x
    x = 95,671,736,503,249/4,386,319
  6. Step 6: Final answer
    x = 21,811,395.05

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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.