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Finding the Third Proportional to 687,899,443,941.75 and 1,496,573,497,757.20

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Solution

The third proportional to 687,899,443,941.75 and 1,496,573,497,757.20 is: 3,255,900,631,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,899,443,941.75 : 1,496,573,497,757.20 = 1,496,573,497,757.20 : x
  2. Step 2: Convert to fraction form
    687,899,443,941.75/1,496,573,497,757.20 = 1,496,573,497,757.20/x
  3. Step 3: Cross multiply
    687,899,443,941.75x = 1,496,573,497,757.20 × 1,496,573,497,757.20
  4. Step 4: Simplify right side
    687,899,443,941.75x = 2,239,732,234,189,219,737,632,768
  5. Step 5: Solve for x
    x = 2,239,732,234,189,219,737,632,768/687,899,443,941.75
  6. Step 6: Final answer
    x = 3,255,900,631,864.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.