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Finding the Third Proportional to 10,523,991 and 15,743,072

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Solution

The third proportional to 10,523,991 and 15,743,072 is: 23,550,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523,991 : 15,743,072 = 15,743,072 : x
  2. Step 2: Convert to fraction form
    10,523,991/15,743,072 = 15,743,072/x
  3. Step 3: Cross multiply
    10,523,991x = 15,743,072 × 15,743,072
  4. Step 4: Simplify right side
    10,523,991x = 247,844,315,997,184
  5. Step 5: Solve for x
    x = 247,844,315,997,184/10,523,991
  6. Step 6: Final answer
    x = 23,550,411.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.