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Finding the Third Proportional to 375,101,423,389 and 506,099,891,918.75

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Solution

The third proportional to 375,101,423,389 and 506,099,891,918.75 is: 682,847,583,690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,101,423,389 : 506,099,891,918.75 = 506,099,891,918.75 : x
  2. Step 2: Convert to fraction form
    375,101,423,389/506,099,891,918.75 = 506,099,891,918.75/x
  3. Step 3: Cross multiply
    375,101,423,389x = 506,099,891,918.75 × 506,099,891,918.75
  4. Step 4: Simplify right side
    375,101,423,389x = 256,137,100,600,170,441,080,832
  5. Step 5: Solve for x
    x = 256,137,100,600,170,441,080,832/375,101,423,389
  6. Step 6: Final answer
    x = 682,847,583,690.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.