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Finding the Third Proportional to 6,466,167 and 10,143,459

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Solution

The third proportional to 6,466,167 and 10,143,459 is: 15,912,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466,167 : 10,143,459 = 10,143,459 : x
  2. Step 2: Convert to fraction form
    6,466,167/10,143,459 = 10,143,459/x
  3. Step 3: Cross multiply
    6,466,167x = 10,143,459 × 10,143,459
  4. Step 4: Simplify right side
    6,466,167x = 102,889,760,484,681
  5. Step 5: Solve for x
    x = 102,889,760,484,681/6,466,167
  6. Step 6: Final answer
    x = 15,912,017.19

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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.