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Finding the Third Proportional to 9,331,432.50 and 13,343,964.75

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Solution

The third proportional to 9,331,432.50 and 13,343,964.75 is: 19,081,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331,432.50 : 13,343,964.75 = 13,343,964.75 : x
  2. Step 2: Convert to fraction form
    9,331,432.50/13,343,964.75 = 13,343,964.75/x
  3. Step 3: Cross multiply
    9,331,432.50x = 13,343,964.75 × 13,343,964.75
  4. Step 4: Simplify right side
    9,331,432.50x = 178,061,395,249,242.56
  5. Step 5: Solve for x
    x = 178,061,395,249,242.56/9,331,432.50
  6. Step 6: Final answer
    x = 19,081,892.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.