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Finding the Third Proportional to 3,831,243 and 8,182,987.50

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Solution

The third proportional to 3,831,243 and 8,182,987.50 is: 17,477,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831,243 : 8,182,987.50 = 8,182,987.50 : x
  2. Step 2: Convert to fraction form
    3,831,243/8,182,987.50 = 8,182,987.50/x
  3. Step 3: Cross multiply
    3,831,243x = 8,182,987.50 × 8,182,987.50
  4. Step 4: Simplify right side
    3,831,243x = 66,961,284,425,156.25
  5. Step 5: Solve for x
    x = 66,961,284,425,156.25/3,831,243
  6. Step 6: Final answer
    x = 17,477,691.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.