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Finding the Third Proportional to 6,380,809.88 and 9,807,717.94

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Solution

The third proportional to 6,380,809.88 and 9,807,717.94 is: 15,075,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,809.88 : 9,807,717.94 = 9,807,717.94 : x
  2. Step 2: Convert to fraction form
    6,380,809.88/9,807,717.94 = 9,807,717.94/x
  3. Step 3: Cross multiply
    6,380,809.88x = 9,807,717.94 × 9,807,717.94
  4. Step 4: Simplify right side
    6,380,809.88x = 96,191,331,141,559.25
  5. Step 5: Solve for x
    x = 96,191,331,141,559.25/6,380,809.88
  6. Step 6: Final answer
    x = 15,075,097.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.