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Finding the Third Proportional to 6,299,073.50 and 9,772,301.50

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Solution

The third proportional to 6,299,073.50 and 9,772,301.50 is: 15,160,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299,073.50 : 9,772,301.50 = 9,772,301.50 : x
  2. Step 2: Convert to fraction form
    6,299,073.50/9,772,301.50 = 9,772,301.50/x
  3. Step 3: Cross multiply
    6,299,073.50x = 9,772,301.50 × 9,772,301.50
  4. Step 4: Simplify right side
    6,299,073.50x = 95,497,876,606,902.25
  5. Step 5: Solve for x
    x = 95,497,876,606,902.25/6,299,073.50
  6. Step 6: Final answer
    x = 15,160,622.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.