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Finding the Third Proportional to 5,236,835,128 and 7,847,592,261

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Solution

The third proportional to 5,236,835,128 and 7,847,592,261 is: 11,759,908,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236,835,128 : 7,847,592,261 = 7,847,592,261 : x
  2. Step 2: Convert to fraction form
    5,236,835,128/7,847,592,261 = 7,847,592,261/x
  3. Step 3: Cross multiply
    5,236,835,128x = 7,847,592,261 × 7,847,592,261
  4. Step 4: Simplify right side
    5,236,835,128x = 61,584,704,294,907,092,992
  5. Step 5: Solve for x
    x = 61,584,704,294,907,092,992/5,236,835,128
  6. Step 6: Final answer
    x = 11,759,908,950.66

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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.