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Finding the Third Proportional to 9,422,714,720 and 20,415,774,838

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Solution

The third proportional to 9,422,714,720 and 20,415,774,838 is: 44,233,946,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422,714,720 : 20,415,774,838 = 20,415,774,838 : x
  2. Step 2: Convert to fraction form
    9,422,714,720/20,415,774,838 = 20,415,774,838/x
  3. Step 3: Cross multiply
    9,422,714,720x = 20,415,774,838 × 20,415,774,838
  4. Step 4: Simplify right side
    9,422,714,720x = 416,803,862,235,913,912,320
  5. Step 5: Solve for x
    x = 416,803,862,235,913,912,320/9,422,714,720
  6. Step 6: Final answer
    x = 44,233,946,863.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.