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Finding the Third Proportional to 13,831,526 and 20,298,873

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Solution

The third proportional to 13,831,526 and 20,298,873 is: 29,790,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831,526 : 20,298,873 = 20,298,873 : x
  2. Step 2: Convert to fraction form
    13,831,526/20,298,873 = 20,298,873/x
  3. Step 3: Cross multiply
    13,831,526x = 20,298,873 × 20,298,873
  4. Step 4: Simplify right side
    13,831,526x = 412,044,245,070,129
  5. Step 5: Solve for x
    x = 412,044,245,070,129/13,831,526
  6. Step 6: Final answer
    x = 29,790,223.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.