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Finding the Third Proportional to 6,006,964 and 12,811,292

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Solution

The third proportional to 6,006,964 and 12,811,292 is: 27,323,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006,964 : 12,811,292 = 12,811,292 : x
  2. Step 2: Convert to fraction form
    6,006,964/12,811,292 = 12,811,292/x
  3. Step 3: Cross multiply
    6,006,964x = 12,811,292 × 12,811,292
  4. Step 4: Simplify right side
    6,006,964x = 164,129,202,709,264
  5. Step 5: Solve for x
    x = 164,129,202,709,264/6,006,964
  6. Step 6: Final answer
    x = 27,323,154.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.