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Finding the Third Proportional to 5,972,724 and 9,223,124

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Solution

The third proportional to 5,972,724 and 9,223,124 is: 14,242,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972,724 : 9,223,124 = 9,223,124 : x
  2. Step 2: Convert to fraction form
    5,972,724/9,223,124 = 9,223,124/x
  3. Step 3: Cross multiply
    5,972,724x = 9,223,124 × 9,223,124
  4. Step 4: Simplify right side
    5,972,724x = 85,066,016,319,376
  5. Step 5: Solve for x
    x = 85,066,016,319,376/5,972,724
  6. Step 6: Final answer
    x = 14,242,415.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.