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Finding the Third Proportional to 11,007,564 and 23,347,008

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Solution

The third proportional to 11,007,564 and 23,347,008 is: 49,518,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007,564 : 23,347,008 = 23,347,008 : x
  2. Step 2: Convert to fraction form
    11,007,564/23,347,008 = 23,347,008/x
  3. Step 3: Cross multiply
    11,007,564x = 23,347,008 × 23,347,008
  4. Step 4: Simplify right side
    11,007,564x = 545,082,782,552,064
  5. Step 5: Solve for x
    x = 545,082,782,552,064/11,007,564
  6. Step 6: Final answer
    x = 49,518,929.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.