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Finding the Third Proportional to 4,982,941,827 and 11,762,703,948

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Solution

The third proportional to 4,982,941,827 and 11,762,703,948 is: 27,766,971,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982,941,827 : 11,762,703,948 = 11,762,703,948 : x
  2. Step 2: Convert to fraction form
    4,982,941,827/11,762,703,948 = 11,762,703,948/x
  3. Step 3: Cross multiply
    4,982,941,827x = 11,762,703,948 × 11,762,703,948
  4. Step 4: Simplify right side
    4,982,941,827x = 138,361,204,168,294,793,216
  5. Step 5: Solve for x
    x = 138,361,204,168,294,793,216/4,982,941,827
  6. Step 6: Final answer
    x = 27,766,971,594.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.