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Finding the Third Proportional to 765,983,760 and 1,213,102,832

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Solution

The third proportional to 765,983,760 and 1,213,102,832 is: 1,921,213,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,983,760 : 1,213,102,832 = 1,213,102,832 : x
  2. Step 2: Convert to fraction form
    765,983,760/1,213,102,832 = 1,213,102,832/x
  3. Step 3: Cross multiply
    765,983,760x = 1,213,102,832 × 1,213,102,832
  4. Step 4: Simplify right side
    765,983,760x = 1,471,618,481,006,420,224
  5. Step 5: Solve for x
    x = 1,471,618,481,006,420,224/765,983,760
  6. Step 6: Final answer
    x = 1,921,213,683.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.