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Finding the Third Proportional to 10,774,370 and 23,257,948

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Solution

The third proportional to 10,774,370 and 23,257,948 is: 50,205,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774,370 : 23,257,948 = 23,257,948 : x
  2. Step 2: Convert to fraction form
    10,774,370/23,257,948 = 23,257,948/x
  3. Step 3: Cross multiply
    10,774,370x = 23,257,948 × 23,257,948
  4. Step 4: Simplify right side
    10,774,370x = 540,932,145,170,704
  5. Step 5: Solve for x
    x = 540,932,145,170,704/10,774,370
  6. Step 6: Final answer
    x = 50,205,454.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.