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Finding the Third Proportional to 679,716,231.75 and 1,049,600,767.50

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Solution

The third proportional to 679,716,231.75 and 1,049,600,767.50 is: 1,620,767,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,716,231.75 : 1,049,600,767.50 = 1,049,600,767.50 : x
  2. Step 2: Convert to fraction form
    679,716,231.75/1,049,600,767.50 = 1,049,600,767.50/x
  3. Step 3: Cross multiply
    679,716,231.75x = 1,049,600,767.50 × 1,049,600,767.50
  4. Step 4: Simplify right side
    679,716,231.75x = 1,101,661,771,136,589,056
  5. Step 5: Solve for x
    x = 1,101,661,771,136,589,056/679,716,231.75
  6. Step 6: Final answer
    x = 1,620,767,196.19

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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.