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Finding the Third Proportional to 9,480,971 and 20,475,292

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Solution

The third proportional to 9,480,971 and 20,475,292 is: 44,218,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480,971 : 20,475,292 = 20,475,292 : x
  2. Step 2: Convert to fraction form
    9,480,971/20,475,292 = 20,475,292/x
  3. Step 3: Cross multiply
    9,480,971x = 20,475,292 × 20,475,292
  4. Step 4: Simplify right side
    9,480,971x = 419,237,582,485,264
  5. Step 5: Solve for x
    x = 419,237,582,485,264/9,480,971
  6. Step 6: Final answer
    x = 44,218,844.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.