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Finding the Third Proportional to 21,048,062 and 31,486,269

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Solution

The third proportional to 21,048,062 and 31,486,269 is: 47,101,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,048,062 : 31,486,269 = 31,486,269 : x
  2. Step 2: Convert to fraction form
    21,048,062/31,486,269 = 31,486,269/x
  3. Step 3: Cross multiply
    21,048,062x = 31,486,269 × 31,486,269
  4. Step 4: Simplify right side
    21,048,062x = 991,385,135,540,361
  5. Step 5: Solve for x
    x = 991,385,135,540,361/21,048,062
  6. Step 6: Final answer
    x = 47,101,017.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.