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Finding the Third Proportional to 23,817,816 and 51,668,460

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Solution

The third proportional to 23,817,816 and 51,668,460 is: 112,085,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817,816 : 51,668,460 = 51,668,460 : x
  2. Step 2: Convert to fraction form
    23,817,816/51,668,460 = 51,668,460/x
  3. Step 3: Cross multiply
    23,817,816x = 51,668,460 × 51,668,460
  4. Step 4: Simplify right side
    23,817,816x = 2,669,629,758,771,600
  5. Step 5: Solve for x
    x = 2,669,629,758,771,600/23,817,816
  6. Step 6: Final answer
    x = 112,085,413.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.