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Finding the Third Proportional to 5,509,573,874 and 11,250,402,082

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Solution

The third proportional to 5,509,573,874 and 11,250,402,082 is: 22,973,019,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509,573,874 : 11,250,402,082 = 11,250,402,082 : x
  2. Step 2: Convert to fraction form
    5,509,573,874/11,250,402,082 = 11,250,402,082/x
  3. Step 3: Cross multiply
    5,509,573,874x = 11,250,402,082 × 11,250,402,082
  4. Step 4: Simplify right side
    5,509,573,874x = 126,571,547,006,669,930,496
  5. Step 5: Solve for x
    x = 126,571,547,006,669,930,496/5,509,573,874
  6. Step 6: Final answer
    x = 22,973,019,311.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.