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Finding the Third Proportional to 38,018,615.20 and 78,052,711.64

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Solution

The third proportional to 38,018,615.20 and 78,052,711.64 is: 160,243,232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,018,615.20 : 78,052,711.64 = 78,052,711.64 : x
  2. Step 2: Convert to fraction form
    38,018,615.20/78,052,711.64 = 78,052,711.64/x
  3. Step 3: Cross multiply
    38,018,615.20x = 78,052,711.64 × 78,052,711.64
  4. Step 4: Simplify right side
    38,018,615.20x = 6,092,225,794,454,557
  5. Step 5: Solve for x
    x = 6,092,225,794,454,557/38,018,615.20
  6. Step 6: Final answer
    x = 160,243,232.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.