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Finding the Third Proportional to 1,144,381,038 and 2,471,708,964

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Solution

The third proportional to 1,144,381,038 and 2,471,708,964 is: 5,338,558,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,381,038 : 2,471,708,964 = 2,471,708,964 : x
  2. Step 2: Convert to fraction form
    1,144,381,038/2,471,708,964 = 2,471,708,964/x
  3. Step 3: Cross multiply
    1,144,381,038x = 2,471,708,964 × 2,471,708,964
  4. Step 4: Simplify right side
    1,144,381,038x = 6,109,345,202,717,953,024
  5. Step 5: Solve for x
    x = 6,109,345,202,717,953,024/1,144,381,038
  6. Step 6: Final answer
    x = 5,338,558,574.33

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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.