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Finding the Third Proportional to 4,441,224 and 9,681,432

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Solution

The third proportional to 4,441,224 and 9,681,432 is: 21,104,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441,224 : 9,681,432 = 9,681,432 : x
  2. Step 2: Convert to fraction form
    4,441,224/9,681,432 = 9,681,432/x
  3. Step 3: Cross multiply
    4,441,224x = 9,681,432 × 9,681,432
  4. Step 4: Simplify right side
    4,441,224x = 93,730,125,570,624
  5. Step 5: Solve for x
    x = 93,730,125,570,624/4,441,224
  6. Step 6: Final answer
    x = 21,104,570.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.