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Finding the Third Proportional to 5,912,740 and 12,748,394

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Solution

The third proportional to 5,912,740 and 12,748,394 is: 27,486,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912,740 : 12,748,394 = 12,748,394 : x
  2. Step 2: Convert to fraction form
    5,912,740/12,748,394 = 12,748,394/x
  3. Step 3: Cross multiply
    5,912,740x = 12,748,394 × 12,748,394
  4. Step 4: Simplify right side
    5,912,740x = 162,521,549,579,236
  5. Step 5: Solve for x
    x = 162,521,549,579,236/5,912,740
  6. Step 6: Final answer
    x = 27,486,672.77

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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.