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Finding the Third Proportional to 9,110,098 and 13,973,883

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Solution

The third proportional to 9,110,098 and 13,973,883 is: 21,434,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110,098 : 13,973,883 = 13,973,883 : x
  2. Step 2: Convert to fraction form
    9,110,098/13,973,883 = 13,973,883/x
  3. Step 3: Cross multiply
    9,110,098x = 13,973,883 × 13,973,883
  4. Step 4: Simplify right side
    9,110,098x = 195,269,406,097,689
  5. Step 5: Solve for x
    x = 195,269,406,097,689/9,110,098
  6. Step 6: Final answer
    x = 21,434,391.39

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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.