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Finding the Third Proportional to 9,833,045,243 and 21,627,406,711

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Solution

The third proportional to 9,833,045,243 and 21,627,406,711 is: 47,568,653,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833,045,243 : 21,627,406,711 = 21,627,406,711 : x
  2. Step 2: Convert to fraction form
    9,833,045,243/21,627,406,711 = 21,627,406,711/x
  3. Step 3: Cross multiply
    9,833,045,243x = 21,627,406,711 × 21,627,406,711
  4. Step 4: Simplify right side
    9,833,045,243x = 467,744,721,043,007,864,832
  5. Step 5: Solve for x
    x = 467,744,721,043,007,864,832/9,833,045,243
  6. Step 6: Final answer
    x = 47,568,653,401.24

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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.