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Finding the Third Proportional to 6,625,488 and 14,314,766.25

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Solution

The third proportional to 6,625,488 and 14,314,766.25 is: 30,927,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625,488 : 14,314,766.25 = 14,314,766.25 : x
  2. Step 2: Convert to fraction form
    6,625,488/14,314,766.25 = 14,314,766.25/x
  3. Step 3: Cross multiply
    6,625,488x = 14,314,766.25 × 14,314,766.25
  4. Step 4: Simplify right side
    6,625,488x = 204,912,532,792,139.06
  5. Step 5: Solve for x
    x = 204,912,532,792,139.06/6,625,488
  6. Step 6: Final answer
    x = 30,927,915.47

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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.