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Finding the Third Proportional to 2,488,162,869 and 5,345,576,370

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Solution

The third proportional to 2,488,162,869 and 5,345,576,370 is: 11,484,451,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488,162,869 : 5,345,576,370 = 5,345,576,370 : x
  2. Step 2: Convert to fraction form
    2,488,162,869/5,345,576,370 = 5,345,576,370/x
  3. Step 3: Cross multiply
    2,488,162,869x = 5,345,576,370 × 5,345,576,370
  4. Step 4: Simplify right side
    2,488,162,869x = 28,575,186,727,502,376,960
  5. Step 5: Solve for x
    x = 28,575,186,727,502,376,960/2,488,162,869
  6. Step 6: Final answer
    x = 11,484,451,875.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.