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Finding the Third Proportional to 4,682,315.74 and 10,215,496.93

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Solution

The third proportional to 4,682,315.74 and 10,215,496.93 is: 22,287,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682,315.74 : 10,215,496.93 = 10,215,496.93 : x
  2. Step 2: Convert to fraction form
    4,682,315.74/10,215,496.93 = 10,215,496.93/x
  3. Step 3: Cross multiply
    4,682,315.74x = 10,215,496.93 × 10,215,496.93
  4. Step 4: Simplify right side
    4,682,315.74x = 104,356,377,600,268.41
  5. Step 5: Solve for x
    x = 104,356,377,600,268.41/4,682,315.74
  6. Step 6: Final answer
    x = 22,287,343.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.