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Finding the Third Proportional to 5,818,971 and 12,645,168

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Solution

The third proportional to 5,818,971 and 12,645,168 is: 27,479,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818,971 : 12,645,168 = 12,645,168 : x
  2. Step 2: Convert to fraction form
    5,818,971/12,645,168 = 12,645,168/x
  3. Step 3: Cross multiply
    5,818,971x = 12,645,168 × 12,645,168
  4. Step 4: Simplify right side
    5,818,971x = 159,900,273,748,224
  5. Step 5: Solve for x
    x = 159,900,273,748,224/5,818,971
  6. Step 6: Final answer
    x = 27,479,132.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.