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Finding the Third Proportional to 3,143,042 and 6,861,820

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Solution

The third proportional to 3,143,042 and 6,861,820 is: 14,980,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,042 : 6,861,820 = 6,861,820 : x
  2. Step 2: Convert to fraction form
    3,143,042/6,861,820 = 6,861,820/x
  3. Step 3: Cross multiply
    3,143,042x = 6,861,820 × 6,861,820
  4. Step 4: Simplify right side
    3,143,042x = 47,084,573,712,400
  5. Step 5: Solve for x
    x = 47,084,573,712,400/3,143,042
  6. Step 6: Final answer
    x = 14,980,574.14

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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.