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Finding the Third Proportional to 26,450,109 and 40,853,767.50

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Solution

The third proportional to 26,450,109 and 40,853,767.50 is: 63,101,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,450,109 : 40,853,767.50 = 40,853,767.50 : x
  2. Step 2: Convert to fraction form
    26,450,109/40,853,767.50 = 40,853,767.50/x
  3. Step 3: Cross multiply
    26,450,109x = 40,853,767.50 × 40,853,767.50
  4. Step 4: Simplify right side
    26,450,109x = 1,669,030,318,944,056.25
  5. Step 5: Solve for x
    x = 1,669,030,318,944,056.25/26,450,109
  6. Step 6: Final answer
    x = 63,101,075.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.