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Finding the Third Proportional to 19,101,396,700 and 41,105,169,848

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Solution

The third proportional to 19,101,396,700 and 41,105,169,848 is: 88,456,096,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,101,396,700 : 41,105,169,848 = 41,105,169,848 : x
  2. Step 2: Convert to fraction form
    19,101,396,700/41,105,169,848 = 41,105,169,848/x
  3. Step 3: Cross multiply
    19,101,396,700x = 41,105,169,848 × 41,105,169,848
  4. Step 4: Simplify right side
    19,101,396,700x = 1,689,634,988,232,928,395,264
  5. Step 5: Solve for x
    x = 1,689,634,988,232,928,395,264/19,101,396,700
  6. Step 6: Final answer
    x = 88,456,096,419.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.