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Finding the Third Proportional to 7,277,563,143 and 11,179,227,318.75

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Solution

The third proportional to 7,277,563,143 and 11,179,227,318.75 is: 17,172,660,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277,563,143 : 11,179,227,318.75 = 11,179,227,318.75 : x
  2. Step 2: Convert to fraction form
    7,277,563,143/11,179,227,318.75 = 11,179,227,318.75/x
  3. Step 3: Cross multiply
    7,277,563,143x = 11,179,227,318.75 × 11,179,227,318.75
  4. Step 4: Simplify right side
    7,277,563,143x = 124,975,123,444,286,308,352
  5. Step 5: Solve for x
    x = 124,975,123,444,286,308,352/7,277,563,143
  6. Step 6: Final answer
    x = 17,172,660,819.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.