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Finding the Third Proportional to 9,422,714,721 and 20,415,774,840

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Solution

The third proportional to 9,422,714,721 and 20,415,774,840 is: 44,233,946,867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422,714,721 : 20,415,774,840 = 20,415,774,840 : x
  2. Step 2: Convert to fraction form
    9,422,714,721/20,415,774,840 = 20,415,774,840/x
  3. Step 3: Cross multiply
    9,422,714,721x = 20,415,774,840 × 20,415,774,840
  4. Step 4: Simplify right side
    9,422,714,721x = 416,803,862,317,577,011,200
  5. Step 5: Solve for x
    x = 416,803,862,317,577,011,200/9,422,714,721
  6. Step 6: Final answer
    x = 44,233,946,867.63

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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.