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Finding the Third Proportional to 6,737,445,082 and 15,024,047,132

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Solution

The third proportional to 6,737,445,082 and 15,024,047,132 is: 33,502,609,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737,445,082 : 15,024,047,132 = 15,024,047,132 : x
  2. Step 2: Convert to fraction form
    6,737,445,082/15,024,047,132 = 15,024,047,132/x
  3. Step 3: Cross multiply
    6,737,445,082x = 15,024,047,132 × 15,024,047,132
  4. Step 4: Simplify right side
    6,737,445,082x = 225,721,992,224,557,432,832
  5. Step 5: Solve for x
    x = 225,721,992,224,557,432,832/6,737,445,082
  6. Step 6: Final answer
    x = 33,502,609,591.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.