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Finding the Third Proportional to 3,000,169.13 and 4,765,972.50

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Solution

The third proportional to 3,000,169.13 and 4,765,972.50 is: 7,571,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,169.13 : 4,765,972.50 = 4,765,972.50 : x
  2. Step 2: Convert to fraction form
    3,000,169.13/4,765,972.50 = 4,765,972.50/x
  3. Step 3: Cross multiply
    3,000,169.13x = 4,765,972.50 × 4,765,972.50
  4. Step 4: Simplify right side
    3,000,169.13x = 22,714,493,870,756.25
  5. Step 5: Solve for x
    x = 22,714,493,870,756.25/3,000,169.13
  6. Step 6: Final answer
    x = 7,571,071.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.