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Finding the Third Proportional to 5,197,983,757 and 11,348,487,148

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Solution

The third proportional to 5,197,983,757 and 11,348,487,148 is: 24,776,560,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197,983,757 : 11,348,487,148 = 11,348,487,148 : x
  2. Step 2: Convert to fraction form
    5,197,983,757/11,348,487,148 = 11,348,487,148/x
  3. Step 3: Cross multiply
    5,197,983,757x = 11,348,487,148 × 11,348,487,148
  4. Step 4: Simplify right side
    5,197,983,757x = 128,788,160,548,321,181,696
  5. Step 5: Solve for x
    x = 128,788,160,548,321,181,696/5,197,983,757
  6. Step 6: Final answer
    x = 24,776,560,791.46

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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.