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Finding the Third Proportional to 3,570,140.81 and 5,363,139.09

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Solution

The third proportional to 3,570,140.81 and 5,363,139.09 is: 8,056,618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570,140.81 : 5,363,139.09 = 5,363,139.09 : x
  2. Step 2: Convert to fraction form
    3,570,140.81/5,363,139.09 = 5,363,139.09/x
  3. Step 3: Cross multiply
    3,570,140.81x = 5,363,139.09 × 5,363,139.09
  4. Step 4: Simplify right side
    3,570,140.81x = 28,763,260,938,909.57
  5. Step 5: Solve for x
    x = 28,763,260,938,909.57/3,570,140.81
  6. Step 6: Final answer
    x = 8,056,618.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.