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Finding the Third Proportional to 5,346,161 and 7,724,281

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Solution

The third proportional to 5,346,161 and 7,724,281 is: 11,160,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,161 : 7,724,281 = 7,724,281 : x
  2. Step 2: Convert to fraction form
    5,346,161/7,724,281 = 7,724,281/x
  3. Step 3: Cross multiply
    5,346,161x = 7,724,281 × 7,724,281
  4. Step 4: Simplify right side
    5,346,161x = 59,664,516,966,961
  5. Step 5: Solve for x
    x = 59,664,516,966,961/5,346,161
  6. Step 6: Final answer
    x = 11,160,254.43

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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.