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Finding the Third Proportional to 22,471,664 and 49,104,095

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Solution

The third proportional to 22,471,664 and 49,104,095 is: 107,300,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471,664 : 49,104,095 = 49,104,095 : x
  2. Step 2: Convert to fraction form
    22,471,664/49,104,095 = 49,104,095/x
  3. Step 3: Cross multiply
    22,471,664x = 49,104,095 × 49,104,095
  4. Step 4: Simplify right side
    22,471,664x = 2,411,212,145,769,025
  5. Step 5: Solve for x
    x = 2,411,212,145,769,025/22,471,664
  6. Step 6: Final answer
    x = 107,300,115.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.