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Finding the Third Proportional to 73,672,767 and 160,415,826

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Solution

The third proportional to 73,672,767 and 160,415,826 is: 349,291,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,672,767 : 160,415,826 = 160,415,826 : x
  2. Step 2: Convert to fraction form
    73,672,767/160,415,826 = 160,415,826/x
  3. Step 3: Cross multiply
    73,672,767x = 160,415,826 × 160,415,826
  4. Step 4: Simplify right side
    73,672,767x = 25,733,237,231,262,276
  5. Step 5: Solve for x
    x = 25,733,237,231,262,276/73,672,767
  6. Step 6: Final answer
    x = 349,291,037.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.