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Finding the Third Proportional to 11,516,172 and 24,626,424

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Solution

The third proportional to 11,516,172 and 24,626,424 is: 52,661,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516,172 : 24,626,424 = 24,626,424 : x
  2. Step 2: Convert to fraction form
    11,516,172/24,626,424 = 24,626,424/x
  3. Step 3: Cross multiply
    11,516,172x = 24,626,424 × 24,626,424
  4. Step 4: Simplify right side
    11,516,172x = 606,460,759,027,776
  5. Step 5: Solve for x
    x = 606,460,759,027,776/11,516,172
  6. Step 6: Final answer
    x = 52,661,662.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.