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Finding the Third Proportional to 34,455,840.75 and 53,377,731

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Solution

The third proportional to 34,455,840.75 and 53,377,731 is: 82,690,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,455,840.75 : 53,377,731 = 53,377,731 : x
  2. Step 2: Convert to fraction form
    34,455,840.75/53,377,731 = 53,377,731/x
  3. Step 3: Cross multiply
    34,455,840.75x = 53,377,731 × 53,377,731
  4. Step 4: Simplify right side
    34,455,840.75x = 2,849,182,166,708,361
  5. Step 5: Solve for x
    x = 2,849,182,166,708,361/34,455,840.75
  6. Step 6: Final answer
    x = 82,690,832.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.