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Finding the Third Proportional to 6,465,794 and 10,143,363

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Solution

The third proportional to 6,465,794 and 10,143,363 is: 15,912,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465,794 : 10,143,363 = 10,143,363 : x
  2. Step 2: Convert to fraction form
    6,465,794/10,143,363 = 10,143,363/x
  3. Step 3: Cross multiply
    6,465,794x = 10,143,363 × 10,143,363
  4. Step 4: Simplify right side
    6,465,794x = 102,887,812,949,769
  5. Step 5: Solve for x
    x = 102,887,812,949,769/6,465,794
  6. Step 6: Final answer
    x = 15,912,633.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.