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Finding the Third Proportional to 6,475,114.13 and 9,354,664.69

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Solution

The third proportional to 6,475,114.13 and 9,354,664.69 is: 13,514,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,114.13 : 9,354,664.69 = 9,354,664.69 : x
  2. Step 2: Convert to fraction form
    6,475,114.13/9,354,664.69 = 9,354,664.69/x
  3. Step 3: Cross multiply
    6,475,114.13x = 9,354,664.69 × 9,354,664.69
  4. Step 4: Simplify right side
    6,475,114.13x = 87,509,751,415,559.47
  5. Step 5: Solve for x
    x = 87,509,751,415,559.47/6,475,114.13
  6. Step 6: Final answer
    x = 13,514,781.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.