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Finding the Third Proportional to 35,800,284 and 77,305,248

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Solution

The third proportional to 35,800,284 and 77,305,248 is: 166,928,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,800,284 : 77,305,248 = 77,305,248 : x
  2. Step 2: Convert to fraction form
    35,800,284/77,305,248 = 77,305,248/x
  3. Step 3: Cross multiply
    35,800,284x = 77,305,248 × 77,305,248
  4. Step 4: Simplify right side
    35,800,284x = 5,976,101,368,341,504
  5. Step 5: Solve for x
    x = 5,976,101,368,341,504/35,800,284
  6. Step 6: Final answer
    x = 166,928,881.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.