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Finding the Third Proportional to 1,144,381,036 and 2,471,708,960

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Solution

The third proportional to 1,144,381,036 and 2,471,708,960 is: 5,338,558,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,381,036 : 2,471,708,960 = 2,471,708,960 : x
  2. Step 2: Convert to fraction form
    1,144,381,036/2,471,708,960 = 2,471,708,960/x
  3. Step 3: Cross multiply
    1,144,381,036x = 2,471,708,960 × 2,471,708,960
  4. Step 4: Simplify right side
    1,144,381,036x = 6,109,345,182,944,281,600
  5. Step 5: Solve for x
    x = 6,109,345,182,944,281,600/1,144,381,036
  6. Step 6: Final answer
    x = 5,338,558,566.38

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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.