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Finding the Third Proportional to 3,302,580 and 6,831,709.50

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Solution

The third proportional to 3,302,580 and 6,831,709.50 is: 14,132,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302,580 : 6,831,709.50 = 6,831,709.50 : x
  2. Step 2: Convert to fraction form
    3,302,580/6,831,709.50 = 6,831,709.50/x
  3. Step 3: Cross multiply
    3,302,580x = 6,831,709.50 × 6,831,709.50
  4. Step 4: Simplify right side
    3,302,580x = 46,672,254,692,390.25
  5. Step 5: Solve for x
    x = 46,672,254,692,390.25/3,302,580
  6. Step 6: Final answer
    x = 14,132,058.78

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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.