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Finding the Third Proportional to 9,654,342.75 and 14,571,294.05

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Solution

The third proportional to 9,654,342.75 and 14,571,294.05 is: 21,992,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654,342.75 : 14,571,294.05 = 14,571,294.05 : x
  2. Step 2: Convert to fraction form
    9,654,342.75/14,571,294.05 = 14,571,294.05/x
  3. Step 3: Cross multiply
    9,654,342.75x = 14,571,294.05 × 14,571,294.05
  4. Step 4: Simplify right side
    9,654,342.75x = 212,322,610,200,494.81
  5. Step 5: Solve for x
    x = 212,322,610,200,494.81/9,654,342.75
  6. Step 6: Final answer
    x = 21,992,445.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.