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Finding the Third Proportional to 4,539,600.70 and 9,796,343.77

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Solution

The third proportional to 4,539,600.70 and 9,796,343.77 is: 21,140,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539,600.70 : 9,796,343.77 = 9,796,343.77 : x
  2. Step 2: Convert to fraction form
    4,539,600.70/9,796,343.77 = 9,796,343.77/x
  3. Step 3: Cross multiply
    4,539,600.70x = 9,796,343.77 × 9,796,343.77
  4. Step 4: Simplify right side
    4,539,600.70x = 95,968,351,174,299.81
  5. Step 5: Solve for x
    x = 95,968,351,174,299.81/4,539,600.70
  6. Step 6: Final answer
    x = 21,140,262.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.