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Finding the Third Proportional to 11,453,826 and 16,021,642

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Solution

The third proportional to 11,453,826 and 16,021,642 is: 22,411,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453,826 : 16,021,642 = 16,021,642 : x
  2. Step 2: Convert to fraction form
    11,453,826/16,021,642 = 16,021,642/x
  3. Step 3: Cross multiply
    11,453,826x = 16,021,642 × 16,021,642
  4. Step 4: Simplify right side
    11,453,826x = 256,693,012,376,164
  5. Step 5: Solve for x
    x = 256,693,012,376,164/11,453,826
  6. Step 6: Final answer
    x = 22,411,115.06

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.