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Finding the Third Proportional to 4,386,319 and 9,781,195

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Solution

The third proportional to 4,386,319 and 9,781,195 is: 21,811,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386,319 : 9,781,195 = 9,781,195 : x
  2. Step 2: Convert to fraction form
    4,386,319/9,781,195 = 9,781,195/x
  3. Step 3: Cross multiply
    4,386,319x = 9,781,195 × 9,781,195
  4. Step 4: Simplify right side
    4,386,319x = 95,671,775,628,025
  5. Step 5: Solve for x
    x = 95,671,775,628,025/4,386,319
  6. Step 6: Final answer
    x = 21,811,403.96

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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.