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Finding the Third Proportional to 9,422,714,723 and 20,415,774,844

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Solution

The third proportional to 9,422,714,723 and 20,415,774,844 is: 44,233,946,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422,714,723 : 20,415,774,844 = 20,415,774,844 : x
  2. Step 2: Convert to fraction form
    9,422,714,723/20,415,774,844 = 20,415,774,844/x
  3. Step 3: Cross multiply
    9,422,714,723x = 20,415,774,844 × 20,415,774,844
  4. Step 4: Simplify right side
    9,422,714,723x = 416,803,862,480,903,208,960
  5. Step 5: Solve for x
    x = 416,803,862,480,903,208,960/9,422,714,723
  6. Step 6: Final answer
    x = 44,233,946,875.58

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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.