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Finding the Third Proportional to 6,301,048 and 9,731,418

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Solution

The third proportional to 6,301,048 and 9,731,418 is: 15,029,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,048 : 9,731,418 = 9,731,418 : x
  2. Step 2: Convert to fraction form
    6,301,048/9,731,418 = 9,731,418/x
  3. Step 3: Cross multiply
    6,301,048x = 9,731,418 × 9,731,418
  4. Step 4: Simplify right side
    6,301,048x = 94,700,496,290,724
  5. Step 5: Solve for x
    x = 94,700,496,290,724/6,301,048
  6. Step 6: Final answer
    x = 15,029,324.69

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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.