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Finding the Third Proportional to 918,785,697 and 1,412,240,053.50

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Solution

The third proportional to 918,785,697 and 1,412,240,053.50 is: 2,170,715,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,785,697 : 1,412,240,053.50 = 1,412,240,053.50 : x
  2. Step 2: Convert to fraction form
    918,785,697/1,412,240,053.50 = 1,412,240,053.50/x
  3. Step 3: Cross multiply
    918,785,697x = 1,412,240,053.50 × 1,412,240,053.50
  4. Step 4: Simplify right side
    918,785,697x = 1,994,421,968,709,682,944
  5. Step 5: Solve for x
    x = 1,994,421,968,709,682,944/918,785,697
  6. Step 6: Final answer
    x = 2,170,715,081.03

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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.