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Finding the Third Proportional to 3,275,877.94 and 6,971,867.44

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Solution

The third proportional to 3,275,877.94 and 6,971,867.44 is: 14,837,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275,877.94 : 6,971,867.44 = 6,971,867.44 : x
  2. Step 2: Convert to fraction form
    3,275,877.94/6,971,867.44 = 6,971,867.44/x
  3. Step 3: Cross multiply
    3,275,877.94x = 6,971,867.44 × 6,971,867.44
  4. Step 4: Simplify right side
    3,275,877.94x = 48,606,935,566,072.81
  5. Step 5: Solve for x
    x = 48,606,935,566,072.81/3,275,877.94
  6. Step 6: Final answer
    x = 14,837,834.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.