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Finding the Third Proportional to 4,536,432 and 7,186,729.50

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Solution

The third proportional to 4,536,432 and 7,186,729.50 is: 11,385,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536,432 : 7,186,729.50 = 7,186,729.50 : x
  2. Step 2: Convert to fraction form
    4,536,432/7,186,729.50 = 7,186,729.50/x
  3. Step 3: Cross multiply
    4,536,432x = 7,186,729.50 × 7,186,729.50
  4. Step 4: Simplify right side
    4,536,432x = 51,649,080,906,170.25
  5. Step 5: Solve for x
    x = 51,649,080,906,170.25/4,536,432
  6. Step 6: Final answer
    x = 11,385,397.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.