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Finding the Third Proportional to 13,847,575 and 32,054,631

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Solution

The third proportional to 13,847,575 and 32,054,631 is: 74,200,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847,575 : 32,054,631 = 32,054,631 : x
  2. Step 2: Convert to fraction form
    13,847,575/32,054,631 = 32,054,631/x
  3. Step 3: Cross multiply
    13,847,575x = 32,054,631 × 32,054,631
  4. Step 4: Simplify right side
    13,847,575x = 1,027,499,368,546,161
  5. Step 5: Solve for x
    x = 1,027,499,368,546,161/13,847,575
  6. Step 6: Final answer
    x = 74,200,671.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.