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Finding the Third Proportional to 313,003,516,229 and 687,497,472,298

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Solution

The third proportional to 313,003,516,229 and 687,497,472,298 is: 1,510,055,797,808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,003,516,229 : 687,497,472,298 = 687,497,472,298 : x
  2. Step 2: Convert to fraction form
    313,003,516,229/687,497,472,298 = 687,497,472,298/x
  3. Step 3: Cross multiply
    313,003,516,229x = 687,497,472,298 × 687,497,472,298
  4. Step 4: Simplify right side
    313,003,516,229x = 472,652,774,416,139,283,333,120
  5. Step 5: Solve for x
    x = 472,652,774,416,139,283,333,120/313,003,516,229
  6. Step 6: Final answer
    x = 1,510,055,797,808.79

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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.