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Finding the Third Proportional to 2,829,580 and 6,137,662

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Solution

The third proportional to 2,829,580 and 6,137,662 is: 13,313,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,580 : 6,137,662 = 6,137,662 : x
  2. Step 2: Convert to fraction form
    2,829,580/6,137,662 = 6,137,662/x
  3. Step 3: Cross multiply
    2,829,580x = 6,137,662 × 6,137,662
  4. Step 4: Simplify right side
    2,829,580x = 37,670,894,826,244
  5. Step 5: Solve for x
    x = 37,670,894,826,244/2,829,580
  6. Step 6: Final answer
    x = 13,313,246.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.