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Finding the Third Proportional to 34,452,700.88 and 75,164,430.38

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Solution

The third proportional to 34,452,700.88 and 75,164,430.38 is: 163,983,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,452,700.88 : 75,164,430.38 = 75,164,430.38 : x
  2. Step 2: Convert to fraction form
    34,452,700.88/75,164,430.38 = 75,164,430.38/x
  3. Step 3: Cross multiply
    34,452,700.88x = 75,164,430.38 × 75,164,430.38
  4. Step 4: Simplify right side
    34,452,700.88x = 5,649,691,593,598,223
  5. Step 5: Solve for x
    x = 5,649,691,593,598,223/34,452,700.88
  6. Step 6: Final answer
    x = 163,983,996.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.