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Finding the Third Proportional to 9,833,045,236 and 21,627,406,697

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Solution

The third proportional to 9,833,045,236 and 21,627,406,697 is: 47,568,653,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833,045,236 : 21,627,406,697 = 21,627,406,697 : x
  2. Step 2: Convert to fraction form
    9,833,045,236/21,627,406,697 = 21,627,406,697/x
  3. Step 3: Cross multiply
    9,833,045,236x = 21,627,406,697 × 21,627,406,697
  4. Step 4: Simplify right side
    9,833,045,236x = 467,744,720,437,440,479,232
  5. Step 5: Solve for x
    x = 467,744,720,437,440,479,232/9,833,045,236
  6. Step 6: Final answer
    x = 47,568,653,373.52

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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.