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Finding the Third Proportional to 1,144,381,004 and 2,471,708,896

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Solution

The third proportional to 1,144,381,004 and 2,471,708,896 is: 5,338,558,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,381,004 : 2,471,708,896 = 2,471,708,896 : x
  2. Step 2: Convert to fraction form
    1,144,381,004/2,471,708,896 = 2,471,708,896/x
  3. Step 3: Cross multiply
    1,144,381,004x = 2,471,708,896 × 2,471,708,896
  4. Step 4: Simplify right side
    1,144,381,004x = 6,109,344,866,565,538,816
  5. Step 5: Solve for x
    x = 6,109,344,866,565,538,816/1,144,381,004
  6. Step 6: Final answer
    x = 5,338,558,439.20

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