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Finding the Third Proportional to 11,475,006 and 24,968,964

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Solution

The third proportional to 11,475,006 and 24,968,964 is: 54,331,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475,006 : 24,968,964 = 24,968,964 : x
  2. Step 2: Convert to fraction form
    11,475,006/24,968,964 = 24,968,964/x
  3. Step 3: Cross multiply
    11,475,006x = 24,968,964 × 24,968,964
  4. Step 4: Simplify right side
    11,475,006x = 623,449,163,233,296
  5. Step 5: Solve for x
    x = 623,449,163,233,296/11,475,006
  6. Step 6: Final answer
    x = 54,331,053.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.