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Finding the Third Proportional to 4,652,980 and 10,224,449.50

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Solution

The third proportional to 4,652,980 and 10,224,449.50 is: 22,467,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652,980 : 10,224,449.50 = 10,224,449.50 : x
  2. Step 2: Convert to fraction form
    4,652,980/10,224,449.50 = 10,224,449.50/x
  3. Step 3: Cross multiply
    4,652,980x = 10,224,449.50 × 10,224,449.50
  4. Step 4: Simplify right side
    4,652,980x = 104,539,367,578,050.25
  5. Step 5: Solve for x
    x = 104,539,367,578,050.25/4,652,980
  6. Step 6: Final answer
    x = 22,467,186.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.