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Finding the Third Proportional to 13,450,868 and 21,413,364

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Solution

The third proportional to 13,450,868 and 21,413,364 is: 34,089,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450,868 : 21,413,364 = 21,413,364 : x
  2. Step 2: Convert to fraction form
    13,450,868/21,413,364 = 21,413,364/x
  3. Step 3: Cross multiply
    13,450,868x = 21,413,364 × 21,413,364
  4. Step 4: Simplify right side
    13,450,868x = 458,532,157,796,496
  5. Step 5: Solve for x
    x = 458,532,157,796,496/13,450,868
  6. Step 6: Final answer
    x = 34,089,410.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.