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Finding the Third Proportional to 23,863,141,080 and 35,894,340,216

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Solution

The third proportional to 23,863,141,080 and 35,894,340,216 is: 53,991,369,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,863,141,080 : 35,894,340,216 = 35,894,340,216 : x
  2. Step 2: Convert to fraction form
    23,863,141,080/35,894,340,216 = 35,894,340,216/x
  3. Step 3: Cross multiply
    23,863,141,080x = 35,894,340,216 × 35,894,340,216
  4. Step 4: Simplify right side
    23,863,141,080x = 1,288,403,659,541,954,953,216
  5. Step 5: Solve for x
    x = 1,288,403,659,541,954,953,216/23,863,141,080
  6. Step 6: Final answer
    x = 53,991,369,167.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.