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Finding the Third Proportional to 13,724,802 and 29,709,099

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Solution

The third proportional to 13,724,802 and 29,709,099 is: 64,309,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724,802 : 29,709,099 = 29,709,099 : x
  2. Step 2: Convert to fraction form
    13,724,802/29,709,099 = 29,709,099/x
  3. Step 3: Cross multiply
    13,724,802x = 29,709,099 × 29,709,099
  4. Step 4: Simplify right side
    13,724,802x = 882,630,563,391,801
  5. Step 5: Solve for x
    x = 882,630,563,391,801/13,724,802
  6. Step 6: Final answer
    x = 64,309,165.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.