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Finding the Third Proportional to 10,709,124 and 16,314,777.75

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Solution

The third proportional to 10,709,124 and 16,314,777.75 is: 24,854,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709,124 : 16,314,777.75 = 16,314,777.75 : x
  2. Step 2: Convert to fraction form
    10,709,124/16,314,777.75 = 16,314,777.75/x
  3. Step 3: Cross multiply
    10,709,124x = 16,314,777.75 × 16,314,777.75
  4. Step 4: Simplify right side
    10,709,124x = 266,171,973,031,895.06
  5. Step 5: Solve for x
    x = 266,171,973,031,895.06/10,709,124
  6. Step 6: Final answer
    x = 24,854,691.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.