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Finding the Third Proportional to 10,907,328 and 23,729,952

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Solution

The third proportional to 10,907,328 and 23,729,952 is: 51,626,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907,328 : 23,729,952 = 23,729,952 : x
  2. Step 2: Convert to fraction form
    10,907,328/23,729,952 = 23,729,952/x
  3. Step 3: Cross multiply
    10,907,328x = 23,729,952 × 23,729,952
  4. Step 4: Simplify right side
    10,907,328x = 563,110,621,922,304
  5. Step 5: Solve for x
    x = 563,110,621,922,304/10,907,328
  6. Step 6: Final answer
    x = 51,626,816.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.