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Finding the Third Proportional to 2,394,715.64 and 5,228,368.07

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Solution

The third proportional to 2,394,715.64 and 5,228,368.07 is: 11,415,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394,715.64 : 5,228,368.07 = 5,228,368.07 : x
  2. Step 2: Convert to fraction form
    2,394,715.64/5,228,368.07 = 5,228,368.07/x
  3. Step 3: Cross multiply
    2,394,715.64x = 5,228,368.07 × 5,228,368.07
  4. Step 4: Simplify right side
    2,394,715.64x = 27,335,832,637,814.02
  5. Step 5: Solve for x
    x = 27,335,832,637,814.02/2,394,715.64
  6. Step 6: Final answer
    x = 11,415,064.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.