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Finding the Third Proportional to 313,003,516,225 and 687,497,472,290

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Solution

The third proportional to 313,003,516,225 and 687,497,472,290 is: 1,510,055,797,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,003,516,225 : 687,497,472,290 = 687,497,472,290 : x
  2. Step 2: Convert to fraction form
    313,003,516,225/687,497,472,290 = 687,497,472,290/x
  3. Step 3: Cross multiply
    313,003,516,225x = 687,497,472,290 × 687,497,472,290
  4. Step 4: Simplify right side
    313,003,516,225x = 472,652,774,405,139,335,217,152
  5. Step 5: Solve for x
    x = 472,652,774,405,139,335,217,152/313,003,516,225
  6. Step 6: Final answer
    x = 1,510,055,797,792.94

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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.