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Finding the Third Proportional to 487,183,190 and 1,149,665,130

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Solution

The third proportional to 487,183,190 and 1,149,665,130 is: 2,713,003,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,183,190 : 1,149,665,130 = 1,149,665,130 : x
  2. Step 2: Convert to fraction form
    487,183,190/1,149,665,130 = 1,149,665,130/x
  3. Step 3: Cross multiply
    487,183,190x = 1,149,665,130 × 1,149,665,130
  4. Step 4: Simplify right side
    487,183,190x = 1,321,729,911,137,916,928
  5. Step 5: Solve for x
    x = 1,321,729,911,137,916,928/487,183,190
  6. Step 6: Final answer
    x = 2,713,003,934.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.