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Finding the Third Proportional to 4,597,316.50 and 9,755,019.50

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Solution

The third proportional to 4,597,316.50 and 9,755,019.50 is: 20,699,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597,316.50 : 9,755,019.50 = 9,755,019.50 : x
  2. Step 2: Convert to fraction form
    4,597,316.50/9,755,019.50 = 9,755,019.50/x
  3. Step 3: Cross multiply
    4,597,316.50x = 9,755,019.50 × 9,755,019.50
  4. Step 4: Simplify right side
    4,597,316.50x = 95,160,405,445,380.25
  5. Step 5: Solve for x
    x = 95,160,405,445,380.25/4,597,316.50
  6. Step 6: Final answer
    x = 20,699,119.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.