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Finding the Third Proportional to 55,365,037 and 121,156,733

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Solution

The third proportional to 55,365,037 and 121,156,733 is: 265,130,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,365,037 : 121,156,733 = 121,156,733 : x
  2. Step 2: Convert to fraction form
    55,365,037/121,156,733 = 121,156,733/x
  3. Step 3: Cross multiply
    55,365,037x = 121,156,733 × 121,156,733
  4. Step 4: Simplify right side
    55,365,037x = 14,678,953,951,233,288
  5. Step 5: Solve for x
    x = 14,678,953,951,233,288/55,365,037
  6. Step 6: Final answer
    x = 265,130,391.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.