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Finding the Third Proportional to 10,491,041.53 and 22,576,406.63

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Solution

The third proportional to 10,491,041.53 and 22,576,406.63 is: 48,583,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491,041.53 : 22,576,406.63 = 22,576,406.63 : x
  2. Step 2: Convert to fraction form
    10,491,041.53/22,576,406.63 = 22,576,406.63/x
  3. Step 3: Cross multiply
    10,491,041.53x = 22,576,406.63 × 22,576,406.63
  4. Step 4: Simplify right side
    10,491,041.53x = 509,694,136,097,343.88
  5. Step 5: Solve for x
    x = 509,694,136,097,343.88/10,491,041.53
  6. Step 6: Final answer
    x = 48,583,749.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.