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Finding the Third Proportional to 313,003,516,226 and 687,497,472,292

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Solution

The third proportional to 313,003,516,226 and 687,497,472,292 is: 1,510,055,797,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,003,516,226 : 687,497,472,292 = 687,497,472,292 : x
  2. Step 2: Convert to fraction form
    313,003,516,226/687,497,472,292 = 687,497,472,292/x
  3. Step 3: Cross multiply
    313,003,516,226x = 687,497,472,292 × 687,497,472,292
  4. Step 4: Simplify right side
    313,003,516,226x = 472,652,774,407,889,322,246,144
  5. Step 5: Solve for x
    x = 472,652,774,407,889,322,246,144/313,003,516,226
  6. Step 6: Final answer
    x = 1,510,055,797,796.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.