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Finding the Third Proportional to 5,912,729 and 12,748,371

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Solution

The third proportional to 5,912,729 and 12,748,371 is: 27,486,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912,729 : 12,748,371 = 12,748,371 : x
  2. Step 2: Convert to fraction form
    5,912,729/12,748,371 = 12,748,371/x
  3. Step 3: Cross multiply
    5,912,729x = 12,748,371 × 12,748,371
  4. Step 4: Simplify right side
    5,912,729x = 162,520,963,153,641
  5. Step 5: Solve for x
    x = 162,520,963,153,641/5,912,729
  6. Step 6: Final answer
    x = 27,486,624.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.