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Finding the Third Proportional to 6,107,890 and 9,448,787

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Solution

The third proportional to 6,107,890 and 9,448,787 is: 14,617,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107,890 : 9,448,787 = 9,448,787 : x
  2. Step 2: Convert to fraction form
    6,107,890/9,448,787 = 9,448,787/x
  3. Step 3: Cross multiply
    6,107,890x = 9,448,787 × 9,448,787
  4. Step 4: Simplify right side
    6,107,890x = 89,279,575,771,369
  5. Step 5: Solve for x
    x = 89,279,575,771,369/6,107,890
  6. Step 6: Final answer
    x = 14,617,089.66

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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.