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Finding the Third Proportional to 10,181,908,199 and 21,919,928,923

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Solution

The third proportional to 10,181,908,199 and 21,919,928,923 is: 47,189,905,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181,908,199 : 21,919,928,923 = 21,919,928,923 : x
  2. Step 2: Convert to fraction form
    10,181,908,199/21,919,928,923 = 21,919,928,923/x
  3. Step 3: Cross multiply
    10,181,908,199x = 21,919,928,923 × 21,919,928,923
  4. Step 4: Simplify right side
    10,181,908,199x = 480,483,283,989,371,944,960
  5. Step 5: Solve for x
    x = 480,483,283,989,371,944,960/10,181,908,199
  6. Step 6: Final answer
    x = 47,189,905,329.98

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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.