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Finding the Third Proportional to 10,163,015,424 and 22,014,419,904

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Solution

The third proportional to 10,163,015,424 and 22,014,419,904 is: 47,686,111,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163,015,424 : 22,014,419,904 = 22,014,419,904 : x
  2. Step 2: Convert to fraction form
    10,163,015,424/22,014,419,904 = 22,014,419,904/x
  3. Step 3: Cross multiply
    10,163,015,424x = 22,014,419,904 × 22,014,419,904
  4. Step 4: Simplify right side
    10,163,015,424x = 484,634,683,709,631,365,120
  5. Step 5: Solve for x
    x = 484,634,683,709,631,365,120/10,163,015,424
  6. Step 6: Final answer
    x = 47,686,111,207.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.