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Finding the Third Proportional to 34,029,936 and 51,069,798

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Solution

The third proportional to 34,029,936 and 51,069,798 is: 76,642,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029,936 : 51,069,798 = 51,069,798 : x
  2. Step 2: Convert to fraction form
    34,029,936/51,069,798 = 51,069,798/x
  3. Step 3: Cross multiply
    34,029,936x = 51,069,798 × 51,069,798
  4. Step 4: Simplify right side
    34,029,936x = 2,608,124,267,760,804
  5. Step 5: Solve for x
    x = 2,608,124,267,760,804/34,029,936
  6. Step 6: Final answer
    x = 76,642,056.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.