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Finding the Third Proportional to 10,491,046 and 22,576,417

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Solution

The third proportional to 10,491,046 and 22,576,417 is: 48,583,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491,046 : 22,576,417 = 22,576,417 : x
  2. Step 2: Convert to fraction form
    10,491,046/22,576,417 = 22,576,417/x
  3. Step 3: Cross multiply
    10,491,046x = 22,576,417 × 22,576,417
  4. Step 4: Simplify right side
    10,491,046x = 509,694,604,557,889
  5. Step 5: Solve for x
    x = 509,694,604,557,889/10,491,046
  6. Step 6: Final answer
    x = 48,583,773.68

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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.