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Finding the Third Proportional to 33,521,688 and 51,257,205

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Solution

The third proportional to 33,521,688 and 51,257,205 is: 78,376,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,521,688 : 51,257,205 = 51,257,205 : x
  2. Step 2: Convert to fraction form
    33,521,688/51,257,205 = 51,257,205/x
  3. Step 3: Cross multiply
    33,521,688x = 51,257,205 × 51,257,205
  4. Step 4: Simplify right side
    33,521,688x = 2,627,301,064,412,025
  5. Step 5: Solve for x
    x = 2,627,301,064,412,025/33,521,688
  6. Step 6: Final answer
    x = 78,376,156.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.