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Finding the Third Proportional to 4,674,205.13 and 7,180,150.88

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Solution

The third proportional to 4,674,205.13 and 7,180,150.88 is: 11,029,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,205.13 : 7,180,150.88 = 7,180,150.88 : x
  2. Step 2: Convert to fraction form
    4,674,205.13/7,180,150.88 = 7,180,150.88/x
  3. Step 3: Cross multiply
    4,674,205.13x = 7,180,150.88 × 7,180,150.88
  4. Step 4: Simplify right side
    4,674,205.13x = 51,554,566,587,763.27
  5. Step 5: Solve for x
    x = 51,554,566,587,763.27/4,674,205.13
  6. Step 6: Final answer
    x = 11,029,590.10

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