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Finding the Third Proportional to 34,737,422 and 51,095,739

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Solution

The third proportional to 34,737,422 and 51,095,739 is: 75,157,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737,422 : 51,095,739 = 51,095,739 : x
  2. Step 2: Convert to fraction form
    34,737,422/51,095,739 = 51,095,739/x
  3. Step 3: Cross multiply
    34,737,422x = 51,095,739 × 51,095,739
  4. Step 4: Simplify right side
    34,737,422x = 2,610,774,543,956,121
  5. Step 5: Solve for x
    x = 2,610,774,543,956,121/34,737,422
  6. Step 6: Final answer
    x = 75,157,406.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.