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Finding the Third Proportional to 3,302,569 and 6,831,687.50

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Solution

The third proportional to 3,302,569 and 6,831,687.50 is: 14,132,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302,569 : 6,831,687.50 = 6,831,687.50 : x
  2. Step 2: Convert to fraction form
    3,302,569/6,831,687.50 = 6,831,687.50/x
  3. Step 3: Cross multiply
    3,302,569x = 6,831,687.50 × 6,831,687.50
  4. Step 4: Simplify right side
    3,302,569x = 46,671,954,097,656.25
  5. Step 5: Solve for x
    x = 46,671,954,097,656.25/3,302,569
  6. Step 6: Final answer
    x = 14,132,014.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.