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Finding the Third Proportional to 5,082,927.19 and 7,743,534.19

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Solution

The third proportional to 5,082,927.19 and 7,743,534.19 is: 11,796,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082,927.19 : 7,743,534.19 = 7,743,534.19 : x
  2. Step 2: Convert to fraction form
    5,082,927.19/7,743,534.19 = 7,743,534.19/x
  3. Step 3: Cross multiply
    5,082,927.19x = 7,743,534.19 × 7,743,534.19
  4. Step 4: Simplify right side
    5,082,927.19x = 59,962,321,712,981.28
  5. Step 5: Solve for x
    x = 59,962,321,712,981.28/5,082,927.19
  6. Step 6: Final answer
    x = 11,796,809.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.