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Finding the Third Proportional to 2,708,404,382 and 5,492,962,929

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Solution

The third proportional to 2,708,404,382 and 5,492,962,929 is: 11,140,375,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,404,382 : 5,492,962,929 = 5,492,962,929 : x
  2. Step 2: Convert to fraction form
    2,708,404,382/5,492,962,929 = 5,492,962,929/x
  3. Step 3: Cross multiply
    2,708,404,382x = 5,492,962,929 × 5,492,962,929
  4. Step 4: Simplify right side
    2,708,404,382x = 30,172,641,739,368,259,584
  5. Step 5: Solve for x
    x = 30,172,641,739,368,259,584/2,708,404,382
  6. Step 6: Final answer
    x = 11,140,375,469.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.