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Finding the Third Proportional to 10,367,016 and 22,623,539

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Solution

The third proportional to 10,367,016 and 22,623,539 is: 49,370,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367,016 : 22,623,539 = 22,623,539 : x
  2. Step 2: Convert to fraction form
    10,367,016/22,623,539 = 22,623,539/x
  3. Step 3: Cross multiply
    10,367,016x = 22,623,539 × 22,623,539
  4. Step 4: Simplify right side
    10,367,016x = 511,824,516,884,521
  5. Step 5: Solve for x
    x = 511,824,516,884,521/10,367,016
  6. Step 6: Final answer
    x = 49,370,476.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.