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Finding the Third Proportional to 1,952,797,686 and 2,947,356,459

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Solution

The third proportional to 1,952,797,686 and 2,947,356,459 is: 4,448,443,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,797,686 : 2,947,356,459 = 2,947,356,459 : x
  2. Step 2: Convert to fraction form
    1,952,797,686/2,947,356,459 = 2,947,356,459/x
  3. Step 3: Cross multiply
    1,952,797,686x = 2,947,356,459 × 2,947,356,459
  4. Step 4: Simplify right side
    1,952,797,686x = 8,686,910,096,409,018,368
  5. Step 5: Solve for x
    x = 8,686,910,096,409,018,368/1,952,797,686
  6. Step 6: Final answer
    x = 4,448,443,460.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.