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Finding the Third Proportional to 10,083,784 and 15,245,732

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Solution

The third proportional to 10,083,784 and 15,245,732 is: 23,050,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083,784 : 15,245,732 = 15,245,732 : x
  2. Step 2: Convert to fraction form
    10,083,784/15,245,732 = 15,245,732/x
  3. Step 3: Cross multiply
    10,083,784x = 15,245,732 × 15,245,732
  4. Step 4: Simplify right side
    10,083,784x = 232,432,344,215,824
  5. Step 5: Solve for x
    x = 232,432,344,215,824/10,083,784
  6. Step 6: Final answer
    x = 23,050,111.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.