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Finding the Third Proportional to 5,912,681 and 12,748,276

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Solution

The third proportional to 5,912,681 and 12,748,276 is: 27,486,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912,681 : 12,748,276 = 12,748,276 : x
  2. Step 2: Convert to fraction form
    5,912,681/12,748,276 = 12,748,276/x
  3. Step 3: Cross multiply
    5,912,681x = 12,748,276 × 12,748,276
  4. Step 4: Simplify right side
    5,912,681x = 162,518,540,972,176
  5. Step 5: Solve for x
    x = 162,518,540,972,176/5,912,681
  6. Step 6: Final answer
    x = 27,486,438.21

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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.