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Finding the Third Proportional to 5,848,416 and 13,041,570

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Solution

The third proportional to 5,848,416 and 13,041,570 is: 29,081,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848,416 : 13,041,570 = 13,041,570 : x
  2. Step 2: Convert to fraction form
    5,848,416/13,041,570 = 13,041,570/x
  3. Step 3: Cross multiply
    5,848,416x = 13,041,570 × 13,041,570
  4. Step 4: Simplify right side
    5,848,416x = 170,082,548,064,900
  5. Step 5: Solve for x
    x = 170,082,548,064,900/5,848,416
  6. Step 6: Final answer
    x = 29,081,814.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.