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Finding the Third Proportional to 2,189,653,580.25 and 4,534,517,457

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Solution

The third proportional to 2,189,653,580.25 and 4,534,517,457 is: 9,390,457,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189,653,580.25 : 4,534,517,457 = 4,534,517,457 : x
  2. Step 2: Convert to fraction form
    2,189,653,580.25/4,534,517,457 = 4,534,517,457/x
  3. Step 3: Cross multiply
    2,189,653,580.25x = 4,534,517,457 × 4,534,517,457
  4. Step 4: Simplify right side
    2,189,653,580.25x = 20,561,848,567,837,745,152
  5. Step 5: Solve for x
    x = 20,561,848,567,837,745,152/2,189,653,580.25
  6. Step 6: Final answer
    x = 9,390,457,355.13

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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.