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Finding the Third Proportional to 7,838,810 and 11,991,483

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Solution

The third proportional to 7,838,810 and 11,991,483 is: 18,344,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838,810 : 11,991,483 = 11,991,483 : x
  2. Step 2: Convert to fraction form
    7,838,810/11,991,483 = 11,991,483/x
  3. Step 3: Cross multiply
    7,838,810x = 11,991,483 × 11,991,483
  4. Step 4: Simplify right side
    7,838,810x = 143,795,664,539,289
  5. Step 5: Solve for x
    x = 143,795,664,539,289/7,838,810
  6. Step 6: Final answer
    x = 18,344,068.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.