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Finding the Third Proportional to 23,674,635,718 and 51,516,960,968

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Solution

The third proportional to 23,674,635,718 and 51,516,960,968 is: 112,102,982,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674,635,718 : 51,516,960,968 = 51,516,960,968 : x
  2. Step 2: Convert to fraction form
    23,674,635,718/51,516,960,968 = 51,516,960,968/x
  3. Step 3: Cross multiply
    23,674,635,718x = 51,516,960,968 × 51,516,960,968
  4. Step 4: Simplify right side
    23,674,635,718x = 2,653,997,267,378,435,522,560
  5. Step 5: Solve for x
    x = 2,653,997,267,378,435,522,560/23,674,635,718
  6. Step 6: Final answer
    x = 112,102,982,237.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.