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Finding the Third Proportional to 33,411,994.88 and 53,165,576.81

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Solution

The third proportional to 33,411,994.88 and 53,165,576.81 is: 84,597,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,411,994.88 : 53,165,576.81 = 53,165,576.81 : x
  2. Step 2: Convert to fraction form
    33,411,994.88/53,165,576.81 = 53,165,576.81/x
  3. Step 3: Cross multiply
    33,411,994.88x = 53,165,576.81 × 53,165,576.81
  4. Step 4: Simplify right side
    33,411,994.88x = 2,826,578,557,805,837.50
  5. Step 5: Solve for x
    x = 2,826,578,557,805,837.50/33,411,994.88
  6. Step 6: Final answer
    x = 84,597,719.12

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Why These Related Problems?

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