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Finding the Third Proportional to 2,998,802.25 and 6,476,307.75

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Solution

The third proportional to 2,998,802.25 and 6,476,307.75 is: 13,986,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998,802.25 : 6,476,307.75 = 6,476,307.75 : x
  2. Step 2: Convert to fraction form
    2,998,802.25/6,476,307.75 = 6,476,307.75/x
  3. Step 3: Cross multiply
    2,998,802.25x = 6,476,307.75 × 6,476,307.75
  4. Step 4: Simplify right side
    2,998,802.25x = 41,942,562,072,710.06
  5. Step 5: Solve for x
    x = 41,942,562,072,710.06/2,998,802.25
  6. Step 6: Final answer
    x = 13,986,438.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.