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Finding the Third Proportional to 687,899,443,993.90 and 1,496,573,497,857.40

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Solution

The third proportional to 687,899,443,993.90 and 1,496,573,497,857.40 is: 3,255,900,632,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,899,443,993.90 : 1,496,573,497,857.40 = 1,496,573,497,857.40 : x
  2. Step 2: Convert to fraction form
    687,899,443,993.90/1,496,573,497,857.40 = 1,496,573,497,857.40/x
  3. Step 3: Cross multiply
    687,899,443,993.90x = 1,496,573,497,857.40 × 1,496,573,497,857.40
  4. Step 4: Simplify right side
    687,899,443,993.90x = 2,239,732,234,489,133,008,945,152
  5. Step 5: Solve for x
    x = 2,239,732,234,489,133,008,945,152/687,899,443,993.90
  6. Step 6: Final answer
    x = 3,255,900,632,053.71

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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.