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Finding the Third Proportional to 10,128,766 and 23,427,964

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Solution

The third proportional to 10,128,766 and 23,427,964 is: 54,189,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128,766 : 23,427,964 = 23,427,964 : x
  2. Step 2: Convert to fraction form
    10,128,766/23,427,964 = 23,427,964/x
  3. Step 3: Cross multiply
    10,128,766x = 23,427,964 × 23,427,964
  4. Step 4: Simplify right side
    10,128,766x = 548,869,497,185,296
  5. Step 5: Solve for x
    x = 548,869,497,185,296/10,128,766
  6. Step 6: Final answer
    x = 54,189,177.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.