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Finding the Third Proportional to 3,210,198.19 and 6,874,931.81

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Solution

The third proportional to 3,210,198.19 and 6,874,931.81 is: 14,723,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210,198.19 : 6,874,931.81 = 6,874,931.81 : x
  2. Step 2: Convert to fraction form
    3,210,198.19/6,874,931.81 = 6,874,931.81/x
  3. Step 3: Cross multiply
    3,210,198.19x = 6,874,931.81 × 6,874,931.81
  4. Step 4: Simplify right side
    3,210,198.19x = 47,264,687,426,524.53
  5. Step 5: Solve for x
    x = 47,264,687,426,524.53/3,210,198.19
  6. Step 6: Final answer
    x = 14,723,292.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.