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Finding the Third Proportional to 2,197,757,934 and 4,714,556,305.50

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Solution

The third proportional to 2,197,757,934 and 4,714,556,305.50 is: 10,113,507,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,757,934 : 4,714,556,305.50 = 4,714,556,305.50 : x
  2. Step 2: Convert to fraction form
    2,197,757,934/4,714,556,305.50 = 4,714,556,305.50/x
  3. Step 3: Cross multiply
    2,197,757,934x = 4,714,556,305.50 × 4,714,556,305.50
  4. Step 4: Simplify right side
    2,197,757,934x = 22,227,041,157,729,808,384
  5. Step 5: Solve for x
    x = 22,227,041,157,729,808,384/2,197,757,934
  6. Step 6: Final answer
    x = 10,113,507,413.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.