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Finding the Third Proportional to 818,776,216.13 and 1,170,858,997.41

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Solution

The third proportional to 818,776,216.13 and 1,170,858,997.41 is: 1,674,341,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,776,216.13 : 1,170,858,997.41 = 1,170,858,997.41 : x
  2. Step 2: Convert to fraction form
    818,776,216.13/1,170,858,997.41 = 1,170,858,997.41/x
  3. Step 3: Cross multiply
    818,776,216.13x = 1,170,858,997.41 × 1,170,858,997.41
  4. Step 4: Simplify right side
    818,776,216.13x = 1,370,910,791,807,051,776
  5. Step 5: Solve for x
    x = 1,370,910,791,807,051,776/818,776,216.13
  6. Step 6: Final answer
    x = 1,674,341,248.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.