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Finding the Third Proportional to 4,386,394 and 9,781,356

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Solution

The third proportional to 4,386,394 and 9,781,356 is: 21,811,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386,394 : 9,781,356 = 9,781,356 : x
  2. Step 2: Convert to fraction form
    4,386,394/9,781,356 = 9,781,356/x
  3. Step 3: Cross multiply
    4,386,394x = 9,781,356 × 9,781,356
  4. Step 4: Simplify right side
    4,386,394x = 95,674,925,198,736
  5. Step 5: Solve for x
    x = 95,674,925,198,736/4,386,394
  6. Step 6: Final answer
    x = 21,811,749.06

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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.