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Finding the Third Proportional to 6,057,414 and 12,966,297

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Solution

The third proportional to 6,057,414 and 12,966,297 is: 27,755,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057,414 : 12,966,297 = 12,966,297 : x
  2. Step 2: Convert to fraction form
    6,057,414/12,966,297 = 12,966,297/x
  3. Step 3: Cross multiply
    6,057,414x = 12,966,297 × 12,966,297
  4. Step 4: Simplify right side
    6,057,414x = 168,124,857,892,209
  5. Step 5: Solve for x
    x = 168,124,857,892,209/6,057,414
  6. Step 6: Final answer
    x = 27,755,219.95

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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.