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Finding the Third Proportional to 64,758,074 and 132,117,446

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Solution

The third proportional to 64,758,074 and 132,117,446 is: 269,541,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,758,074 : 132,117,446 = 132,117,446 : x
  2. Step 2: Convert to fraction form
    64,758,074/132,117,446 = 132,117,446/x
  3. Step 3: Cross multiply
    64,758,074x = 132,117,446 × 132,117,446
  4. Step 4: Simplify right side
    64,758,074x = 17,455,019,537,562,916
  5. Step 5: Solve for x
    x = 17,455,019,537,562,916/64,758,074
  6. Step 6: Final answer
    x = 269,541,980.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.