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Finding the Third Proportional to 2,885,411 and 6,171,070

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Solution

The third proportional to 2,885,411 and 6,171,070 is: 13,198,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885,411 : 6,171,070 = 6,171,070 : x
  2. Step 2: Convert to fraction form
    2,885,411/6,171,070 = 6,171,070/x
  3. Step 3: Cross multiply
    2,885,411x = 6,171,070 × 6,171,070
  4. Step 4: Simplify right side
    2,885,411x = 38,082,104,944,900
  5. Step 5: Solve for x
    x = 38,082,104,944,900/2,885,411
  6. Step 6: Final answer
    x = 13,198,156.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.