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Finding the Third Proportional to 9,357,970,232 and 20,552,705,968

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Solution

The third proportional to 9,357,970,232 and 20,552,705,968 is: 45,139,459,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357,970,232 : 20,552,705,968 = 20,552,705,968 : x
  2. Step 2: Convert to fraction form
    9,357,970,232/20,552,705,968 = 20,552,705,968/x
  3. Step 3: Cross multiply
    9,357,970,232x = 20,552,705,968 × 20,552,705,968
  4. Step 4: Simplify right side
    9,357,970,232x = 422,413,722,607,062,810,624
  5. Step 5: Solve for x
    x = 422,413,722,607,062,810,624/9,357,970,232
  6. Step 6: Final answer
    x = 45,139,459,961.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.