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Finding the Third Proportional to 19,743,345 and 44,023,657.50

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Solution

The third proportional to 19,743,345 and 44,023,657.50 is: 98,163,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743,345 : 44,023,657.50 = 44,023,657.50 : x
  2. Step 2: Convert to fraction form
    19,743,345/44,023,657.50 = 44,023,657.50/x
  3. Step 3: Cross multiply
    19,743,345x = 44,023,657.50 × 44,023,657.50
  4. Step 4: Simplify right side
    19,743,345x = 1,938,082,419,677,306.25
  5. Step 5: Solve for x
    x = 1,938,082,419,677,306.25/19,743,345
  6. Step 6: Final answer
    x = 98,163,832.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.