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Finding the Third Proportional to 13,831,481 and 22,223,447

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Solution

The third proportional to 13,831,481 and 22,223,447 is: 35,707,065.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831,481 : 22,223,447 = 22,223,447 : x
  2. Step 2: Convert to fraction form
    13,831,481/22,223,447 = 22,223,447/x
  3. Step 3: Cross multiply
    13,831,481x = 22,223,447 × 22,223,447
  4. Step 4: Simplify right side
    13,831,481x = 493,881,596,561,809
  5. Step 5: Solve for x
    x = 493,881,596,561,809/13,831,481
  6. Step 6: Final answer
    x = 35,707,065.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.