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Finding the Third Proportional to 10,927,738 and 16,037,313

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Solution

The third proportional to 10,927,738 and 16,037,313 is: 23,536,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927,738 : 16,037,313 = 16,037,313 : x
  2. Step 2: Convert to fraction form
    10,927,738/16,037,313 = 16,037,313/x
  3. Step 3: Cross multiply
    10,927,738x = 16,037,313 × 16,037,313
  4. Step 4: Simplify right side
    10,927,738x = 257,195,408,259,969
  5. Step 5: Solve for x
    x = 257,195,408,259,969/10,927,738
  6. Step 6: Final answer
    x = 23,536,015.25

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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.