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Finding the Third Proportional to 3,143,106 and 6,861,942

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Solution

The third proportional to 3,143,106 and 6,861,942 is: 14,980,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,106 : 6,861,942 = 6,861,942 : x
  2. Step 2: Convert to fraction form
    3,143,106/6,861,942 = 6,861,942/x
  3. Step 3: Cross multiply
    3,143,106x = 6,861,942 × 6,861,942
  4. Step 4: Simplify right side
    3,143,106x = 47,086,248,011,364
  5. Step 5: Solve for x
    x = 47,086,248,011,364/3,143,106
  6. Step 6: Final answer
    x = 14,980,801.80

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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.