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Finding the Third Proportional to 37,893,336 and 83,344,944

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Solution

The third proportional to 37,893,336 and 83,344,944 is: 183,314,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,893,336 : 83,344,944 = 83,344,944 : x
  2. Step 2: Convert to fraction form
    37,893,336/83,344,944 = 83,344,944/x
  3. Step 3: Cross multiply
    37,893,336x = 83,344,944 × 83,344,944
  4. Step 4: Simplify right side
    37,893,336x = 6,946,379,690,363,136
  5. Step 5: Solve for x
    x = 6,946,379,690,363,136/37,893,336
  6. Step 6: Final answer
    x = 183,314,018.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.