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Finding the Third Proportional to 6,111,620 and 12,951,780

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Solution

The third proportional to 6,111,620 and 12,951,780 is: 27,447,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111,620 : 12,951,780 = 12,951,780 : x
  2. Step 2: Convert to fraction form
    6,111,620/12,951,780 = 12,951,780/x
  3. Step 3: Cross multiply
    6,111,620x = 12,951,780 × 12,951,780
  4. Step 4: Simplify right side
    6,111,620x = 167,748,605,168,400
  5. Step 5: Solve for x
    x = 167,748,605,168,400/6,111,620
  6. Step 6: Final answer
    x = 27,447,486.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.