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Finding the Third Proportional to 13,450,866 and 21,413,361

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Solution

The third proportional to 13,450,866 and 21,413,361 is: 34,089,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450,866 : 21,413,361 = 21,413,361 : x
  2. Step 2: Convert to fraction form
    13,450,866/21,413,361 = 21,413,361/x
  3. Step 3: Cross multiply
    13,450,866x = 21,413,361 × 21,413,361
  4. Step 4: Simplify right side
    13,450,866x = 458,532,029,316,321
  5. Step 5: Solve for x
    x = 458,532,029,316,321/13,450,866
  6. Step 6: Final answer
    x = 34,089,405.79

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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.