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Finding the Third Proportional to 4,597,287.57 and 9,754,964.00

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Solution

The third proportional to 4,597,287.57 and 9,754,964.00 is: 20,699,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597,287.57 : 9,754,964.00 = 9,754,964.00 : x
  2. Step 2: Convert to fraction form
    4,597,287.57/9,754,964.00 = 9,754,964.00/x
  3. Step 3: Cross multiply
    4,597,287.57x = 9,754,964.00 × 9,754,964.00
  4. Step 4: Simplify right side
    4,597,287.57x = 95,159,322,603,189.22
  5. Step 5: Solve for x
    x = 95,159,322,603,189.22/4,597,287.57
  6. Step 6: Final answer
    x = 20,699,014.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.