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Finding the Third Proportional to 4,386,432 and 9,781,430

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Solution

The third proportional to 4,386,432 and 9,781,430 is: 21,811,890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386,432 : 9,781,430 = 9,781,430 : x
  2. Step 2: Convert to fraction form
    4,386,432/9,781,430 = 9,781,430/x
  3. Step 3: Cross multiply
    4,386,432x = 9,781,430 × 9,781,430
  4. Step 4: Simplify right side
    4,386,432x = 95,676,372,844,900
  5. Step 5: Solve for x
    x = 95,676,372,844,900/4,386,432
  6. Step 6: Final answer
    x = 21,811,890.13

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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.