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Finding the Third Proportional to 1,144,298,880 and 2,471,500,944

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Solution

The third proportional to 1,144,298,880 and 2,471,500,944 is: 5,338,043,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,298,880 : 2,471,500,944 = 2,471,500,944 : x
  2. Step 2: Convert to fraction form
    1,144,298,880/2,471,500,944 = 2,471,500,944/x
  3. Step 3: Cross multiply
    1,144,298,880x = 2,471,500,944 × 2,471,500,944
  4. Step 4: Simplify right side
    1,144,298,880x = 6,108,316,916,192,890,880
  5. Step 5: Solve for x
    x = 6,108,316,916,192,890,880/1,144,298,880
  6. Step 6: Final answer
    x = 5,338,043,253.34

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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.