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Finding the Third Proportional to 4,912,065,128 and 10,684,775,992

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Solution

The third proportional to 4,912,065,128 and 10,684,775,992 is: 23,241,637,686.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912,065,128 : 10,684,775,992 = 10,684,775,992 : x
  2. Step 2: Convert to fraction form
    4,912,065,128/10,684,775,992 = 10,684,775,992/x
  3. Step 3: Cross multiply
    4,912,065,128x = 10,684,775,992 × 10,684,775,992
  4. Step 4: Simplify right side
    4,912,065,128x = 114,164,437,999,219,589,120
  5. Step 5: Solve for x
    x = 114,164,437,999,219,589,120/4,912,065,128
  6. Step 6: Final answer
    x = 23,241,637,686.86

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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.