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Finding the Third Proportional to 1,144,381,036.50 and 2,471,708,961

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Solution

The third proportional to 1,144,381,036.50 and 2,471,708,961 is: 5,338,558,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,381,036.50 : 2,471,708,961 = 2,471,708,961 : x
  2. Step 2: Convert to fraction form
    1,144,381,036.50/2,471,708,961 = 2,471,708,961/x
  3. Step 3: Cross multiply
    1,144,381,036.50x = 2,471,708,961 × 2,471,708,961
  4. Step 4: Simplify right side
    1,144,381,036.50x = 6,109,345,187,887,699,968
  5. Step 5: Solve for x
    x = 6,109,345,187,887,699,968/1,144,381,036.50
  6. Step 6: Final answer
    x = 5,338,558,568.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.