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Finding the Third Proportional to 4,897,731 and 11,437,032

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Solution

The third proportional to 4,897,731 and 11,437,032 is: 26,707,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897,731 : 11,437,032 = 11,437,032 : x
  2. Step 2: Convert to fraction form
    4,897,731/11,437,032 = 11,437,032/x
  3. Step 3: Cross multiply
    4,897,731x = 11,437,032 × 11,437,032
  4. Step 4: Simplify right side
    4,897,731x = 130,805,700,969,024
  5. Step 5: Solve for x
    x = 130,805,700,969,024/4,897,731
  6. Step 6: Final answer
    x = 26,707,408.18

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