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Finding the Third Proportional to 34,624,086 and 54,032,355

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Solution

The third proportional to 34,624,086 and 54,032,355 is: 84,319,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,624,086 : 54,032,355 = 54,032,355 : x
  2. Step 2: Convert to fraction form
    34,624,086/54,032,355 = 54,032,355/x
  3. Step 3: Cross multiply
    34,624,086x = 54,032,355 × 54,032,355
  4. Step 4: Simplify right side
    34,624,086x = 2,919,495,386,846,025
  5. Step 5: Solve for x
    x = 2,919,495,386,846,025/34,624,086
  6. Step 6: Final answer
    x = 84,319,782.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.