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Finding the Third Proportional to 6,380,541 and 9,807,331

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Solution

The third proportional to 6,380,541 and 9,807,331 is: 15,074,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,541 : 9,807,331 = 9,807,331 : x
  2. Step 2: Convert to fraction form
    6,380,541/9,807,331 = 9,807,331/x
  3. Step 3: Cross multiply
    6,380,541x = 9,807,331 × 9,807,331
  4. Step 4: Simplify right side
    6,380,541x = 96,183,741,343,561
  5. Step 5: Solve for x
    x = 96,183,741,343,561/6,380,541
  6. Step 6: Final answer
    x = 15,074,543.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.