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Finding the Third Proportional to 3,143,981 and 6,403,572

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Solution

The third proportional to 3,143,981 and 6,403,572 is: 13,042,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,981 : 6,403,572 = 6,403,572 : x
  2. Step 2: Convert to fraction form
    3,143,981/6,403,572 = 6,403,572/x
  3. Step 3: Cross multiply
    3,143,981x = 6,403,572 × 6,403,572
  4. Step 4: Simplify right side
    3,143,981x = 41,005,734,359,184
  5. Step 5: Solve for x
    x = 41,005,734,359,184/3,143,981
  6. Step 6: Final answer
    x = 13,042,615.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.