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Finding the Third Proportional to 54,002,026.69 and 85,786,009.03

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Solution

The third proportional to 54,002,026.69 and 85,786,009.03 is: 136,277,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,002,026.69 : 85,786,009.03 = 85,786,009.03 : x
  2. Step 2: Convert to fraction form
    54,002,026.69/85,786,009.03 = 85,786,009.03/x
  3. Step 3: Cross multiply
    54,002,026.69x = 85,786,009.03 × 85,786,009.03
  4. Step 4: Simplify right side
    54,002,026.69x = 7,359,239,345,509,707
  5. Step 5: Solve for x
    x = 7,359,239,345,509,707/54,002,026.69
  6. Step 6: Final answer
    x = 136,277,095.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.