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Finding the Third Proportional to 776,838,234 and 1,664,481,756

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Solution

The third proportional to 776,838,234 and 1,664,481,756 is: 3,566,378,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,838,234 : 1,664,481,756 = 1,664,481,756 : x
  2. Step 2: Convert to fraction form
    776,838,234/1,664,481,756 = 1,664,481,756/x
  3. Step 3: Cross multiply
    776,838,234x = 1,664,481,756 × 1,664,481,756
  4. Step 4: Simplify right side
    776,838,234x = 2,770,499,516,056,843,776
  5. Step 5: Solve for x
    x = 2,770,499,516,056,843,776/776,838,234
  6. Step 6: Final answer
    x = 3,566,378,938.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.