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Finding the Third Proportional to 10,120,048 and 15,652,968

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Solution

The third proportional to 10,120,048 and 15,652,968 is: 24,210,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120,048 : 15,652,968 = 15,652,968 : x
  2. Step 2: Convert to fraction form
    10,120,048/15,652,968 = 15,652,968/x
  3. Step 3: Cross multiply
    10,120,048x = 15,652,968 × 15,652,968
  4. Step 4: Simplify right side
    10,120,048x = 245,015,407,209,024
  5. Step 5: Solve for x
    x = 245,015,407,209,024/10,120,048
  6. Step 6: Final answer
    x = 24,210,893.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.