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Finding the Third Proportional to 9,400,567,194 and 14,221,754,643

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Solution

The third proportional to 9,400,567,194 and 14,221,754,643 is: 21,515,542,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400,567,194 : 14,221,754,643 = 14,221,754,643 : x
  2. Step 2: Convert to fraction form
    9,400,567,194/14,221,754,643 = 14,221,754,643/x
  3. Step 3: Cross multiply
    9,400,567,194x = 14,221,754,643 × 14,221,754,643
  4. Step 4: Simplify right side
    9,400,567,194x = 202,258,305,125,692,047,360
  5. Step 5: Solve for x
    x = 202,258,305,125,692,047,360/9,400,567,194
  6. Step 6: Final answer
    x = 21,515,542,727.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.