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Finding the Third Proportional to 24,000,696 and 51,754,284

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Solution

The third proportional to 24,000,696 and 51,754,284 is: 111,601,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000,696 : 51,754,284 = 51,754,284 : x
  2. Step 2: Convert to fraction form
    24,000,696/51,754,284 = 51,754,284/x
  3. Step 3: Cross multiply
    24,000,696x = 51,754,284 × 51,754,284
  4. Step 4: Simplify right side
    24,000,696x = 2,678,505,912,352,656
  5. Step 5: Solve for x
    x = 2,678,505,912,352,656/24,000,696
  6. Step 6: Final answer
    x = 111,601,176.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.