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Finding the Third Proportional to 7,743,924 and 15,985,020

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Solution

The third proportional to 7,743,924 and 15,985,020 is: 32,996,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743,924 : 15,985,020 = 15,985,020 : x
  2. Step 2: Convert to fraction form
    7,743,924/15,985,020 = 15,985,020/x
  3. Step 3: Cross multiply
    7,743,924x = 15,985,020 × 15,985,020
  4. Step 4: Simplify right side
    7,743,924x = 255,520,864,400,400
  5. Step 5: Solve for x
    x = 255,520,864,400,400/7,743,924
  6. Step 6: Final answer
    x = 32,996,303.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.