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Finding the Third Proportional to 14,632,482.94 and 32,161,692.09

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Solution

The third proportional to 14,632,482.94 and 32,161,692.09 is: 70,690,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632,482.94 : 32,161,692.09 = 32,161,692.09 : x
  2. Step 2: Convert to fraction form
    14,632,482.94/32,161,692.09 = 32,161,692.09/x
  3. Step 3: Cross multiply
    14,632,482.94x = 32,161,692.09 × 32,161,692.09
  4. Step 4: Simplify right side
    14,632,482.94x = 1,034,374,438,333,181.25
  5. Step 5: Solve for x
    x = 1,034,374,438,333,181.25/14,632,482.94
  6. Step 6: Final answer
    x = 70,690,288.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.