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Finding the Third Proportional to 9,833,045,232 and 21,627,406,692

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Solution

The third proportional to 9,833,045,232 and 21,627,406,692 is: 47,568,653,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833,045,232 : 21,627,406,692 = 21,627,406,692 : x
  2. Step 2: Convert to fraction form
    9,833,045,232/21,627,406,692 = 21,627,406,692/x
  3. Step 3: Cross multiply
    9,833,045,232x = 21,627,406,692 × 21,627,406,692
  4. Step 4: Simplify right side
    9,833,045,232x = 467,744,720,221,166,370,816
  5. Step 5: Solve for x
    x = 467,744,720,221,166,370,816/9,833,045,232
  6. Step 6: Final answer
    x = 47,568,653,370.88

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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.