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Finding the Third Proportional to 45,167,279,229 and 68,332,782,655.13

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Solution

The third proportional to 45,167,279,229 and 68,332,782,655.13 is: 103,379,465,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,167,279,229 : 68,332,782,655.13 = 68,332,782,655.13 : x
  2. Step 2: Convert to fraction form
    45,167,279,229/68,332,782,655.13 = 68,332,782,655.13/x
  3. Step 3: Cross multiply
    45,167,279,229x = 68,332,782,655.13 × 68,332,782,655.13
  4. Step 4: Simplify right side
    45,167,279,229x = 4,669,369,185,392,552,050,688
  5. Step 5: Solve for x
    x = 4,669,369,185,392,552,050,688/45,167,279,229
  6. Step 6: Final answer
    x = 103,379,465,513.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.