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Finding the Third Proportional to 8,263,300 and 17,721,944

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Solution

The third proportional to 8,263,300 and 17,721,944 is: 38,007,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263,300 : 17,721,944 = 17,721,944 : x
  2. Step 2: Convert to fraction form
    8,263,300/17,721,944 = 17,721,944/x
  3. Step 3: Cross multiply
    8,263,300x = 17,721,944 × 17,721,944
  4. Step 4: Simplify right side
    8,263,300x = 314,067,299,139,136
  5. Step 5: Solve for x
    x = 314,067,299,139,136/8,263,300
  6. Step 6: Final answer
    x = 38,007,490.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.