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Finding the Third Proportional to 6,520,032 and 14,160,082.50

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Solution

The third proportional to 6,520,032 and 14,160,082.50 is: 30,752,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520,032 : 14,160,082.50 = 14,160,082.50 : x
  2. Step 2: Convert to fraction form
    6,520,032/14,160,082.50 = 14,160,082.50/x
  3. Step 3: Cross multiply
    6,520,032x = 14,160,082.50 × 14,160,082.50
  4. Step 4: Simplify right side
    6,520,032x = 200,507,936,406,806.25
  5. Step 5: Solve for x
    x = 200,507,936,406,806.25/6,520,032
  6. Step 6: Final answer
    x = 30,752,600.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.