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Finding the Third Proportional to 4,342,123 and 9,281,813

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Solution

The third proportional to 4,342,123 and 9,281,813 is: 19,840,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342,123 : 9,281,813 = 9,281,813 : x
  2. Step 2: Convert to fraction form
    4,342,123/9,281,813 = 9,281,813/x
  3. Step 3: Cross multiply
    4,342,123x = 9,281,813 × 9,281,813
  4. Step 4: Simplify right side
    4,342,123x = 86,152,052,566,969
  5. Step 5: Solve for x
    x = 86,152,052,566,969/4,342,123
  6. Step 6: Final answer
    x = 19,840,997.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.