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Finding the Third Proportional to 4,432,449 and 9,705,647

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Solution

The third proportional to 4,432,449 and 9,705,647 is: 21,252,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432,449 : 9,705,647 = 9,705,647 : x
  2. Step 2: Convert to fraction form
    4,432,449/9,705,647 = 9,705,647/x
  3. Step 3: Cross multiply
    4,432,449x = 9,705,647 × 9,705,647
  4. Step 4: Simplify right side
    4,432,449x = 94,199,583,688,609
  5. Step 5: Solve for x
    x = 94,199,583,688,609/4,432,449
  6. Step 6: Final answer
    x = 21,252,265.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.