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Finding the Third Proportional to 918,785,696 and 1,412,240,052

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Solution

The third proportional to 918,785,696 and 1,412,240,052 is: 2,170,715,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,785,696 : 1,412,240,052 = 1,412,240,052 : x
  2. Step 2: Convert to fraction form
    918,785,696/1,412,240,052 = 1,412,240,052/x
  3. Step 3: Cross multiply
    918,785,696x = 1,412,240,052 × 1,412,240,052
  4. Step 4: Simplify right side
    918,785,696x = 1,994,421,964,472,962,816
  5. Step 5: Solve for x
    x = 1,994,421,964,472,962,816/918,785,696
  6. Step 6: Final answer
    x = 2,170,715,078.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.