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Finding the Third Proportional to 6,146,847 and 9,020,980.13

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Solution

The third proportional to 6,146,847 and 9,020,980.13 is: 13,238,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146,847 : 9,020,980.13 = 9,020,980.13 : x
  2. Step 2: Convert to fraction form
    6,146,847/9,020,980.13 = 9,020,980.13/x
  3. Step 3: Cross multiply
    6,146,847x = 9,020,980.13 × 9,020,980.13
  4. Step 4: Simplify right side
    6,146,847x = 81,378,082,415,645.02
  5. Step 5: Solve for x
    x = 81,378,082,415,645.02/6,146,847
  6. Step 6: Final answer
    x = 13,238,995.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.