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Finding the Third Proportional to 19,474,662 and 30,314,289

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Solution

The third proportional to 19,474,662 and 30,314,289 is: 47,187,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474,662 : 30,314,289 = 30,314,289 : x
  2. Step 2: Convert to fraction form
    19,474,662/30,314,289 = 30,314,289/x
  3. Step 3: Cross multiply
    19,474,662x = 30,314,289 × 30,314,289
  4. Step 4: Simplify right side
    19,474,662x = 918,956,117,575,521
  5. Step 5: Solve for x
    x = 918,956,117,575,521/19,474,662
  6. Step 6: Final answer
    x = 47,187,269.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.