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Finding the Third Proportional to 17,764,965 and 38,742,633

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Solution

The third proportional to 17,764,965 and 38,742,633 is: 84,491,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764,965 : 38,742,633 = 38,742,633 : x
  2. Step 2: Convert to fraction form
    17,764,965/38,742,633 = 38,742,633/x
  3. Step 3: Cross multiply
    17,764,965x = 38,742,633 × 38,742,633
  4. Step 4: Simplify right side
    17,764,965x = 1,500,991,611,772,689
  5. Step 5: Solve for x
    x = 1,500,991,611,772,689/17,764,965
  6. Step 6: Final answer
    x = 84,491,672.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.