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Finding the Third Proportional to 56,827,342.13 and 83,115,249.19

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Solution

The third proportional to 56,827,342.13 and 83,115,249.19 is: 121,563,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,827,342.13 : 83,115,249.19 = 83,115,249.19 : x
  2. Step 2: Convert to fraction form
    56,827,342.13/83,115,249.19 = 83,115,249.19/x
  3. Step 3: Cross multiply
    56,827,342.13x = 83,115,249.19 × 83,115,249.19
  4. Step 4: Simplify right side
    56,827,342.13x = 6,908,144,647,500,219
  5. Step 5: Solve for x
    x = 6,908,144,647,500,219/56,827,342.13
  6. Step 6: Final answer
    x = 121,563,747.12

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.