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Finding the Third Proportional to 2,457,495.56 and 5,387,382.94

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Solution

The third proportional to 2,457,495.56 and 5,387,382.94 is: 11,810,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,495.56 : 5,387,382.94 = 5,387,382.94 : x
  2. Step 2: Convert to fraction form
    2,457,495.56/5,387,382.94 = 5,387,382.94/x
  3. Step 3: Cross multiply
    2,457,495.56x = 5,387,382.94 × 5,387,382.94
  4. Step 4: Simplify right side
    2,457,495.56x = 29,023,894,915,266.13
  5. Step 5: Solve for x
    x = 29,023,894,915,266.13/2,457,495.56
  6. Step 6: Final answer
    x = 11,810,354.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.