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Finding the Third Proportional to 10,301,659,118 and 22,314,726,700

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Solution

The third proportional to 10,301,659,118 and 22,314,726,700 is: 48,336,585,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301,659,118 : 22,314,726,700 = 22,314,726,700 : x
  2. Step 2: Convert to fraction form
    10,301,659,118/22,314,726,700 = 22,314,726,700/x
  3. Step 3: Cross multiply
    10,301,659,118x = 22,314,726,700 × 22,314,726,700
  4. Step 4: Simplify right side
    10,301,659,118x = 497,947,027,695,692,873,728
  5. Step 5: Solve for x
    x = 497,947,027,695,692,873,728/10,301,659,118
  6. Step 6: Final answer
    x = 48,336,585,591.89

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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.