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Finding the Third Proportional to 38,776,266 and 57,415,716

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Solution

The third proportional to 38,776,266 and 57,415,716 is: 85,015,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,776,266 : 57,415,716 = 57,415,716 : x
  2. Step 2: Convert to fraction form
    38,776,266/57,415,716 = 57,415,716/x
  3. Step 3: Cross multiply
    38,776,266x = 57,415,716 × 57,415,716
  4. Step 4: Simplify right side
    38,776,266x = 3,296,564,443,792,656
  5. Step 5: Solve for x
    x = 3,296,564,443,792,656/38,776,266
  6. Step 6: Final answer
    x = 85,015,004.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.