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Finding the Third Proportional to 5,911,497 and 12,707,046

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Solution

The third proportional to 5,911,497 and 12,707,046 is: 27,314,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911,497 : 12,707,046 = 12,707,046 : x
  2. Step 2: Convert to fraction form
    5,911,497/12,707,046 = 12,707,046/x
  3. Step 3: Cross multiply
    5,911,497x = 12,707,046 × 12,707,046
  4. Step 4: Simplify right side
    5,911,497x = 161,469,018,046,116
  5. Step 5: Solve for x
    x = 161,469,018,046,116/5,911,497
  6. Step 6: Final answer
    x = 27,314,404.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.