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Finding the Third Proportional to 34,388,077.50 and 52,025,807.25

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Solution

The third proportional to 34,388,077.50 and 52,025,807.25 is: 78,709,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,388,077.50 : 52,025,807.25 = 52,025,807.25 : x
  2. Step 2: Convert to fraction form
    34,388,077.50/52,025,807.25 = 52,025,807.25/x
  3. Step 3: Cross multiply
    34,388,077.50x = 52,025,807.25 × 52,025,807.25
  4. Step 4: Simplify right side
    34,388,077.50x = 2,706,684,620,014,152.50
  5. Step 5: Solve for x
    x = 2,706,684,620,014,152.50/34,388,077.50
  6. Step 6: Final answer
    x = 78,709,972.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.