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Finding the Third Proportional to 26,331,025 and 34,938,464.75

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Solution

The third proportional to 26,331,025 and 34,938,464.75 is: 46,359,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,331,025 : 34,938,464.75 = 34,938,464.75 : x
  2. Step 2: Convert to fraction form
    26,331,025/34,938,464.75 = 34,938,464.75/x
  3. Step 3: Cross multiply
    26,331,025x = 34,938,464.75 × 34,938,464.75
  4. Step 4: Simplify right side
    26,331,025x = 1,220,696,319,086,992.50
  5. Step 5: Solve for x
    x = 1,220,696,319,086,992.50/26,331,025
  6. Step 6: Final answer
    x = 46,359,620.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.