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Finding the Third Proportional to 34,452,702.75 and 75,164,433.75

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Solution

The third proportional to 34,452,702.75 and 75,164,433.75 is: 163,984,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,452,702.75 : 75,164,433.75 = 75,164,433.75 : x
  2. Step 2: Convert to fraction form
    34,452,702.75/75,164,433.75 = 75,164,433.75/x
  3. Step 3: Cross multiply
    34,452,702.75x = 75,164,433.75 × 75,164,433.75
  4. Step 4: Simplify right side
    34,452,702.75x = 5,649,692,100,958,139
  5. Step 5: Solve for x
    x = 5,649,692,100,958,139/34,452,702.75
  6. Step 6: Final answer
    x = 163,984,002.71

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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.