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Finding the Third Proportional to 392,313,865 and 847,036,378

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Solution

The third proportional to 392,313,865 and 847,036,378 is: 1,828,817,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,313,865 : 847,036,378 = 847,036,378 : x
  2. Step 2: Convert to fraction form
    392,313,865/847,036,378 = 847,036,378/x
  3. Step 3: Cross multiply
    392,313,865x = 847,036,378 × 847,036,378
  4. Step 4: Simplify right side
    392,313,865x = 717,470,625,655,358,848
  5. Step 5: Solve for x
    x = 717,470,625,655,358,848/392,313,865
  6. Step 6: Final answer
    x = 1,828,817,917.65

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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.