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Finding the Third Proportional to 22,203,114,416 and 48,474,899,502

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Solution

The third proportional to 22,203,114,416 and 48,474,899,502 is: 105,832,715,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,203,114,416 : 48,474,899,502 = 48,474,899,502 : x
  2. Step 2: Convert to fraction form
    22,203,114,416/48,474,899,502 = 48,474,899,502/x
  3. Step 3: Cross multiply
    22,203,114,416x = 48,474,899,502 × 48,474,899,502
  4. Step 4: Simplify right side
    22,203,114,416x = 2,349,815,881,728,999,817,216
  5. Step 5: Solve for x
    x = 2,349,815,881,728,999,817,216/22,203,114,416
  6. Step 6: Final answer
    x = 105,832,715,073.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.