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Finding the Third Proportional to 2,996,311.50 and 4,695,276.38

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Solution

The third proportional to 2,996,311.50 and 4,695,276.38 is: 7,357,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,311.50 : 4,695,276.38 = 4,695,276.38 : x
  2. Step 2: Convert to fraction form
    2,996,311.50/4,695,276.38 = 4,695,276.38/x
  3. Step 3: Cross multiply
    2,996,311.50x = 4,695,276.38 × 4,695,276.38
  4. Step 4: Simplify right side
    2,996,311.50x = 22,045,620,237,633.14
  5. Step 5: Solve for x
    x = 22,045,620,237,633.14/2,996,311.50
  6. Step 6: Final answer
    x = 7,357,586.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.