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Finding the Third Proportional to 2,598,451,659 and 6,132,082,153.50

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Solution

The third proportional to 2,598,451,659 and 6,132,082,153.50 is: 14,471,091,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598,451,659 : 6,132,082,153.50 = 6,132,082,153.50 : x
  2. Step 2: Convert to fraction form
    2,598,451,659/6,132,082,153.50 = 6,132,082,153.50/x
  3. Step 3: Cross multiply
    2,598,451,659x = 6,132,082,153.50 × 6,132,082,153.50
  4. Step 4: Simplify right side
    2,598,451,659x = 37,602,431,537,273,200,640
  5. Step 5: Solve for x
    x = 37,602,431,537,273,200,640/2,598,451,659
  6. Step 6: Final answer
    x = 14,471,091,431.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.