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Finding the Third Proportional to 688,628,169.37 and 1,475,498,189.85

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Solution

The third proportional to 688,628,169.37 and 1,475,498,189.85 is: 3,161,495,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,628,169.37 : 1,475,498,189.85 = 1,475,498,189.85 : x
  2. Step 2: Convert to fraction form
    688,628,169.37/1,475,498,189.85 = 1,475,498,189.85/x
  3. Step 3: Cross multiply
    688,628,169.37x = 1,475,498,189.85 × 1,475,498,189.85
  4. Step 4: Simplify right side
    688,628,169.37x = 2,177,094,908,243,839,744
  5. Step 5: Solve for x
    x = 2,177,094,908,243,839,744/688,628,169.37
  6. Step 6: Final answer
    x = 3,161,495,572.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.