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Finding the Third Proportional to 5,152,407.50 and 6,997,467.50

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Solution

The third proportional to 5,152,407.50 and 6,997,467.50 is: 9,503,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152,407.50 : 6,997,467.50 = 6,997,467.50 : x
  2. Step 2: Convert to fraction form
    5,152,407.50/6,997,467.50 = 6,997,467.50/x
  3. Step 3: Cross multiply
    5,152,407.50x = 6,997,467.50 × 6,997,467.50
  4. Step 4: Simplify right side
    5,152,407.50x = 48,964,551,413,556.25
  5. Step 5: Solve for x
    x = 48,964,551,413,556.25/5,152,407.50
  6. Step 6: Final answer
    x = 9,503,237.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.