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Finding the Third Proportional to 10,319,161.14 and 22,254,147.14

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Solution

The third proportional to 10,319,161.14 and 22,254,147.14 is: 47,992,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319,161.14 : 22,254,147.14 = 22,254,147.14 : x
  2. Step 2: Convert to fraction form
    10,319,161.14/22,254,147.14 = 22,254,147.14/x
  3. Step 3: Cross multiply
    10,319,161.14x = 22,254,147.14 × 22,254,147.14
  4. Step 4: Simplify right side
    10,319,161.14x = 495,247,064,809,888.56
  5. Step 5: Solve for x
    x = 495,247,064,809,888.56/10,319,161.14
  6. Step 6: Final answer
    x = 47,992,957.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.