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Finding the Third Proportional to 612,523,796 and 941,493,366

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Solution

The third proportional to 612,523,796 and 941,493,366 is: 1,447,143,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,523,796 : 941,493,366 = 941,493,366 : x
  2. Step 2: Convert to fraction form
    612,523,796/941,493,366 = 941,493,366/x
  3. Step 3: Cross multiply
    612,523,796x = 941,493,366 × 941,493,366
  4. Step 4: Simplify right side
    612,523,796x = 886,409,758,222,009,984
  5. Step 5: Solve for x
    x = 886,409,758,222,009,984/612,523,796
  6. Step 6: Final answer
    x = 1,447,143,382.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.