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Finding the Third Proportional to 9,958,261.50 and 15,834,609

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Solution

The third proportional to 9,958,261.50 and 15,834,609 is: 25,178,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958,261.50 : 15,834,609 = 15,834,609 : x
  2. Step 2: Convert to fraction form
    9,958,261.50/15,834,609 = 15,834,609/x
  3. Step 3: Cross multiply
    9,958,261.50x = 15,834,609 × 15,834,609
  4. Step 4: Simplify right side
    9,958,261.50x = 250,734,842,182,881
  5. Step 5: Solve for x
    x = 250,734,842,182,881/9,958,261.50
  6. Step 6: Final answer
    x = 25,178,575.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.