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Finding the Third Proportional to 1,378,188,006 and 2,118,373,785

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Solution

The third proportional to 1,378,188,006 and 2,118,373,785 is: 3,256,092,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,188,006 : 2,118,373,785 = 2,118,373,785 : x
  2. Step 2: Convert to fraction form
    1,378,188,006/2,118,373,785 = 2,118,373,785/x
  3. Step 3: Cross multiply
    1,378,188,006x = 2,118,373,785 × 2,118,373,785
  4. Step 4: Simplify right side
    1,378,188,006x = 4,487,507,492,975,226,368
  5. Step 5: Solve for x
    x = 4,487,507,492,975,226,368/1,378,188,006
  6. Step 6: Final answer
    x = 3,256,092,400.63

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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.