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Finding the Third Proportional to 46,858,677 and 101,777,274

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Solution

The third proportional to 46,858,677 and 101,777,274 is: 221,060,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,858,677 : 101,777,274 = 101,777,274 : x
  2. Step 2: Convert to fraction form
    46,858,677/101,777,274 = 101,777,274/x
  3. Step 3: Cross multiply
    46,858,677x = 101,777,274 × 101,777,274
  4. Step 4: Simplify right side
    46,858,677x = 10,358,613,502,871,076
  5. Step 5: Solve for x
    x = 10,358,613,502,871,076/46,858,677
  6. Step 6: Final answer
    x = 221,060,733.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.