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Finding the Third Proportional to 21,976,086 and 32,306,391

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Solution

The third proportional to 21,976,086 and 32,306,391 is: 47,492,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976,086 : 32,306,391 = 32,306,391 : x
  2. Step 2: Convert to fraction form
    21,976,086/32,306,391 = 32,306,391/x
  3. Step 3: Cross multiply
    21,976,086x = 32,306,391 × 32,306,391
  4. Step 4: Simplify right side
    21,976,086x = 1,043,702,899,444,881
  5. Step 5: Solve for x
    x = 1,043,702,899,444,881/21,976,086
  6. Step 6: Final answer
    x = 47,492,665.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.