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Finding the Third Proportional to 37,099,346 and 51,264,273

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Solution

The third proportional to 37,099,346 and 51,264,273 is: 70,837,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,099,346 : 51,264,273 = 51,264,273 : x
  2. Step 2: Convert to fraction form
    37,099,346/51,264,273 = 51,264,273/x
  3. Step 3: Cross multiply
    37,099,346x = 51,264,273 × 51,264,273
  4. Step 4: Simplify right side
    37,099,346x = 2,628,025,686,218,529
  5. Step 5: Solve for x
    x = 2,628,025,686,218,529/37,099,346
  6. Step 6: Final answer
    x = 70,837,520.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.