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Finding the Third Proportional to 9,770,787 and 20,883,349.13

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Solution

The third proportional to 9,770,787 and 20,883,349.13 is: 44,634,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770,787 : 20,883,349.13 = 20,883,349.13 : x
  2. Step 2: Convert to fraction form
    9,770,787/20,883,349.13 = 20,883,349.13/x
  3. Step 3: Cross multiply
    9,770,787x = 20,883,349.13 × 20,883,349.13
  4. Step 4: Simplify right side
    9,770,787x = 436,114,270,676,638.25
  5. Step 5: Solve for x
    x = 436,114,270,676,638.25/9,770,787
  6. Step 6: Final answer
    x = 44,634,508.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.