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Finding the Third Proportional to 10,094,471,406 and 22,088,667,231

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Solution

The third proportional to 10,094,471,406 and 22,088,667,231 is: 48,334,301,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094,471,406 : 22,088,667,231 = 22,088,667,231 : x
  2. Step 2: Convert to fraction form
    10,094,471,406/22,088,667,231 = 22,088,667,231/x
  3. Step 3: Cross multiply
    10,094,471,406x = 22,088,667,231 × 22,088,667,231
  4. Step 4: Simplify right side
    10,094,471,406x = 487,909,220,041,853,239,296
  5. Step 5: Solve for x
    x = 487,909,220,041,853,239,296/10,094,471,406
  6. Step 6: Final answer
    x = 48,334,301,066.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.