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Finding the Third Proportional to 13,842,327 and 30,289,896.75

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Solution

The third proportional to 13,842,327 and 30,289,896.75 is: 66,280,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842,327 : 30,289,896.75 = 30,289,896.75 : x
  2. Step 2: Convert to fraction form
    13,842,327/30,289,896.75 = 30,289,896.75/x
  3. Step 3: Cross multiply
    13,842,327x = 30,289,896.75 × 30,289,896.75
  4. Step 4: Simplify right side
    13,842,327x = 917,477,845,125,660.50
  5. Step 5: Solve for x
    x = 917,477,845,125,660.50/13,842,327
  6. Step 6: Final answer
    x = 66,280,607.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.