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Finding the Third Proportional to 22,096,608,402 and 47,345,016,224

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Solution

The third proportional to 22,096,608,402 and 47,345,016,224 is: 101,443,195,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096,608,402 : 47,345,016,224 = 47,345,016,224 : x
  2. Step 2: Convert to fraction form
    22,096,608,402/47,345,016,224 = 47,345,016,224/x
  3. Step 3: Cross multiply
    22,096,608,402x = 47,345,016,224 × 47,345,016,224
  4. Step 4: Simplify right side
    22,096,608,402x = 2,241,550,561,250,823,110,656
  5. Step 5: Solve for x
    x = 2,241,550,561,250,823,110,656/22,096,608,402
  6. Step 6: Final answer
    x = 101,443,195,284.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.