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Finding the Third Proportional to 34,554,431.25 and 75,617,374.50

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Solution

The third proportional to 34,554,431.25 and 75,617,374.50 is: 165,477,686.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,554,431.25 : 75,617,374.50 = 75,617,374.50 : x
  2. Step 2: Convert to fraction form
    34,554,431.25/75,617,374.50 = 75,617,374.50/x
  3. Step 3: Cross multiply
    34,554,431.25x = 75,617,374.50 × 75,617,374.50
  4. Step 4: Simplify right side
    34,554,431.25x = 5,717,987,326,273,250
  5. Step 5: Solve for x
    x = 5,717,987,326,273,250/34,554,431.25
  6. Step 6: Final answer
    x = 165,477,686.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.