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Finding the Third Proportional to 12,577,552,023 and 26,921,951,214

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Solution

The third proportional to 12,577,552,023 and 26,921,951,214 is: 57,625,796,803.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577,552,023 : 26,921,951,214 = 26,921,951,214 : x
  2. Step 2: Convert to fraction form
    12,577,552,023/26,921,951,214 = 26,921,951,214/x
  3. Step 3: Cross multiply
    12,577,552,023x = 26,921,951,214 × 26,921,951,214
  4. Step 4: Simplify right side
    12,577,552,023x = 724,791,457,168,996,040,704
  5. Step 5: Solve for x
    x = 724,791,457,168,996,040,704/12,577,552,023
  6. Step 6: Final answer
    x = 57,625,796,803.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.