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Finding the Third Proportional to 10,590,969 and 15,872,224

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Solution

The third proportional to 10,590,969 and 15,872,224 is: 23,787,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590,969 : 15,872,224 = 15,872,224 : x
  2. Step 2: Convert to fraction form
    10,590,969/15,872,224 = 15,872,224/x
  3. Step 3: Cross multiply
    10,590,969x = 15,872,224 × 15,872,224
  4. Step 4: Simplify right side
    10,590,969x = 251,927,494,706,176
  5. Step 5: Solve for x
    x = 251,927,494,706,176/10,590,969
  6. Step 6: Final answer
    x = 23,787,010.87

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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.