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Finding the Third Proportional to 7,761,477 and 16,327,297.50

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Solution

The third proportional to 7,761,477 and 16,327,297.50 is: 34,346,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761,477 : 16,327,297.50 = 16,327,297.50 : x
  2. Step 2: Convert to fraction form
    7,761,477/16,327,297.50 = 16,327,297.50/x
  3. Step 3: Cross multiply
    7,761,477x = 16,327,297.50 × 16,327,297.50
  4. Step 4: Simplify right side
    7,761,477x = 266,580,643,653,506.25
  5. Step 5: Solve for x
    x = 266,580,643,653,506.25/7,761,477
  6. Step 6: Final answer
    x = 34,346,638.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.