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Finding the Third Proportional to 687,899,443,937.73 and 1,496,573,497,749.30

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Solution

The third proportional to 687,899,443,937.73 and 1,496,573,497,749.30 is: 3,255,900,631,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,899,443,937.73 : 1,496,573,497,749.30 = 1,496,573,497,749.30 : x
  2. Step 2: Convert to fraction form
    687,899,443,937.73/1,496,573,497,749.30 = 1,496,573,497,749.30/x
  3. Step 3: Cross multiply
    687,899,443,937.73x = 1,496,573,497,749.30 × 1,496,573,497,749.30
  4. Step 4: Simplify right side
    687,899,443,937.73x = 2,239,732,234,165,574,332,055,552
  5. Step 5: Solve for x
    x = 2,239,732,234,165,574,332,055,552/687,899,443,937.73
  6. Step 6: Final answer
    x = 3,255,900,631,849.21

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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.