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Finding the Third Proportional to 4,950,672.75 and 7,877,494.13

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Solution

The third proportional to 4,950,672.75 and 7,877,494.13 is: 12,534,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950,672.75 : 7,877,494.13 = 7,877,494.13 : x
  2. Step 2: Convert to fraction form
    4,950,672.75/7,877,494.13 = 7,877,494.13/x
  3. Step 3: Cross multiply
    4,950,672.75x = 7,877,494.13 × 7,877,494.13
  4. Step 4: Simplify right side
    4,950,672.75x = 62,054,913,689,409.52
  5. Step 5: Solve for x
    x = 62,054,913,689,409.52/4,950,672.75
  6. Step 6: Final answer
    x = 12,534,642.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.