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Finding the Third Proportional to 2,189,653,583 and 4,534,517,462

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Solution

The third proportional to 2,189,653,583 and 4,534,517,462 is: 9,390,457,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189,653,583 : 4,534,517,462 = 4,534,517,462 : x
  2. Step 2: Convert to fraction form
    2,189,653,583/4,534,517,462 = 4,534,517,462/x
  3. Step 3: Cross multiply
    2,189,653,583x = 4,534,517,462 × 4,534,517,462
  4. Step 4: Simplify right side
    2,189,653,583x = 20,561,848,613,182,922,752
  5. Step 5: Solve for x
    x = 20,561,848,613,182,922,752/2,189,653,583
  6. Step 6: Final answer
    x = 9,390,457,364.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.