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Finding the Third Proportional to 5,346,176 and 7,724,301

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Solution

The third proportional to 5,346,176 and 7,724,301 is: 11,160,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,176 : 7,724,301 = 7,724,301 : x
  2. Step 2: Convert to fraction form
    5,346,176/7,724,301 = 7,724,301/x
  3. Step 3: Cross multiply
    5,346,176x = 7,724,301 × 7,724,301
  4. Step 4: Simplify right side
    5,346,176x = 59,664,825,938,601
  5. Step 5: Solve for x
    x = 59,664,825,938,601/5,346,176
  6. Step 6: Final answer
    x = 11,160,280.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.