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Finding the Third Proportional to 375,101,423,388.75 and 506,099,891,917.50

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Solution

The third proportional to 375,101,423,388.75 and 506,099,891,917.50 is: 682,847,583,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,101,423,388.75 : 506,099,891,917.50 = 506,099,891,917.50 : x
  2. Step 2: Convert to fraction form
    375,101,423,388.75/506,099,891,917.50 = 506,099,891,917.50/x
  3. Step 3: Cross multiply
    375,101,423,388.75x = 506,099,891,917.50 × 506,099,891,917.50
  4. Step 4: Simplify right side
    375,101,423,388.75x = 256,137,100,598,905,170,558,976
  5. Step 5: Solve for x
    x = 256,137,100,598,905,170,558,976/375,101,423,388.75
  6. Step 6: Final answer
    x = 682,847,583,687.91

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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.