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Finding the Third Proportional to 3,533,973 and 5,403,706.50

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Solution

The third proportional to 3,533,973 and 5,403,706.50 is: 8,262,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533,973 : 5,403,706.50 = 5,403,706.50 : x
  2. Step 2: Convert to fraction form
    3,533,973/5,403,706.50 = 5,403,706.50/x
  3. Step 3: Cross multiply
    3,533,973x = 5,403,706.50 × 5,403,706.50
  4. Step 4: Simplify right side
    3,533,973x = 29,200,043,938,142.25
  5. Step 5: Solve for x
    x = 29,200,043,938,142.25/3,533,973
  6. Step 6: Final answer
    x = 8,262,667.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.