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Finding the Third Proportional to 20,024,091 and 31,019,946

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Solution

The third proportional to 20,024,091 and 31,019,946 is: 48,053,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024,091 : 31,019,946 = 31,019,946 : x
  2. Step 2: Convert to fraction form
    20,024,091/31,019,946 = 31,019,946/x
  3. Step 3: Cross multiply
    20,024,091x = 31,019,946 × 31,019,946
  4. Step 4: Simplify right side
    20,024,091x = 962,237,049,842,916
  5. Step 5: Solve for x
    x = 962,237,049,842,916/20,024,091
  6. Step 6: Final answer
    x = 48,053,969.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.