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Finding the Third Proportional to 4,897,740 and 11,437,048

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Solution

The third proportional to 4,897,740 and 11,437,048 is: 26,707,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897,740 : 11,437,048 = 11,437,048 : x
  2. Step 2: Convert to fraction form
    4,897,740/11,437,048 = 11,437,048/x
  3. Step 3: Cross multiply
    4,897,740x = 11,437,048 × 11,437,048
  4. Step 4: Simplify right side
    4,897,740x = 130,806,066,954,304
  5. Step 5: Solve for x
    x = 130,806,066,954,304/4,897,740
  6. Step 6: Final answer
    x = 26,707,433.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.