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Finding the Third Proportional to 4,407,624 and 9,261,423

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Solution

The third proportional to 4,407,624 and 9,261,423 is: 19,460,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407,624 : 9,261,423 = 9,261,423 : x
  2. Step 2: Convert to fraction form
    4,407,624/9,261,423 = 9,261,423/x
  3. Step 3: Cross multiply
    4,407,624x = 9,261,423 × 9,261,423
  4. Step 4: Simplify right side
    4,407,624x = 85,773,955,984,929
  5. Step 5: Solve for x
    x = 85,773,955,984,929/4,407,624
  6. Step 6: Final answer
    x = 19,460,361.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.