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Finding the Third Proportional to 5,196,649.50 and 8,163,362.25

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Solution

The third proportional to 5,196,649.50 and 8,163,362.25 is: 12,823,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196,649.50 : 8,163,362.25 = 8,163,362.25 : x
  2. Step 2: Convert to fraction form
    5,196,649.50/8,163,362.25 = 8,163,362.25/x
  3. Step 3: Cross multiply
    5,196,649.50x = 8,163,362.25 × 8,163,362.25
  4. Step 4: Simplify right side
    5,196,649.50x = 66,640,483,224,725.06
  5. Step 5: Solve for x
    x = 66,640,483,224,725.06/5,196,649.50
  6. Step 6: Final answer
    x = 12,823,740.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.