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Finding the Third Proportional to 4,897,742 and 11,437,053

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Solution

The third proportional to 4,897,742 and 11,437,053 is: 26,707,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897,742 : 11,437,053 = 11,437,053 : x
  2. Step 2: Convert to fraction form
    4,897,742/11,437,053 = 11,437,053/x
  3. Step 3: Cross multiply
    4,897,742x = 11,437,053 × 11,437,053
  4. Step 4: Simplify right side
    4,897,742x = 130,806,181,324,809
  5. Step 5: Solve for x
    x = 130,806,181,324,809/4,897,742
  6. Step 6: Final answer
    x = 26,707,446.27

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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.