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Finding the Third Proportional to 21,682,137 and 31,707,454.50

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Solution

The third proportional to 21,682,137 and 31,707,454.50 is: 46,368,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682,137 : 31,707,454.50 = 31,707,454.50 : x
  2. Step 2: Convert to fraction form
    21,682,137/31,707,454.50 = 31,707,454.50/x
  3. Step 3: Cross multiply
    21,682,137x = 31,707,454.50 × 31,707,454.50
  4. Step 4: Simplify right side
    21,682,137x = 1,005,362,670,869,570.25
  5. Step 5: Solve for x
    x = 1,005,362,670,869,570.25/21,682,137
  6. Step 6: Final answer
    x = 46,368,246.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.