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Finding the Third Proportional to 3,010,356 and 4,291,327.13

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Solution

The third proportional to 3,010,356 and 4,291,327.13 is: 6,117,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010,356 : 4,291,327.13 = 4,291,327.13 : x
  2. Step 2: Convert to fraction form
    3,010,356/4,291,327.13 = 4,291,327.13/x
  3. Step 3: Cross multiply
    3,010,356x = 4,291,327.13 × 4,291,327.13
  4. Step 4: Simplify right side
    3,010,356x = 18,415,488,493,760.77
  5. Step 5: Solve for x
    x = 18,415,488,493,760.77/3,010,356
  6. Step 6: Final answer
    x = 6,117,378.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.