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Finding the Third Proportional to 10,257,581 and 16,242,633.50

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Solution

The third proportional to 10,257,581 and 16,242,633.50 is: 25,719,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,581 : 16,242,633.50 = 16,242,633.50 : x
  2. Step 2: Convert to fraction form
    10,257,581/16,242,633.50 = 16,242,633.50/x
  3. Step 3: Cross multiply
    10,257,581x = 16,242,633.50 × 16,242,633.50
  4. Step 4: Simplify right side
    10,257,581x = 263,823,143,015,322.25
  5. Step 5: Solve for x
    x = 263,823,143,015,322.25/10,257,581
  6. Step 6: Final answer
    x = 25,719,820.59

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.