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Finding the Third Proportional to 9,090,798 and 20,199,509

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Solution

The third proportional to 9,090,798 and 20,199,509 is: 44,882,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090,798 : 20,199,509 = 20,199,509 : x
  2. Step 2: Convert to fraction form
    9,090,798/20,199,509 = 20,199,509/x
  3. Step 3: Cross multiply
    9,090,798x = 20,199,509 × 20,199,509
  4. Step 4: Simplify right side
    9,090,798x = 408,020,163,841,081
  5. Step 5: Solve for x
    x = 408,020,163,841,081/9,090,798
  6. Step 6: Final answer
    x = 44,882,766.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.