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Finding the Third Proportional to 29,868,600 and 46,932,633

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Solution

The third proportional to 29,868,600 and 46,932,633 is: 73,745,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,868,600 : 46,932,633 = 46,932,633 : x
  2. Step 2: Convert to fraction form
    29,868,600/46,932,633 = 46,932,633/x
  3. Step 3: Cross multiply
    29,868,600x = 46,932,633 × 46,932,633
  4. Step 4: Simplify right side
    29,868,600x = 2,202,672,040,312,689
  5. Step 5: Solve for x
    x = 2,202,672,040,312,689/29,868,600
  6. Step 6: Final answer
    x = 73,745,406.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.