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Finding the Third Proportional to 13,570,074 and 20,985,295.50

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Solution

The third proportional to 13,570,074 and 20,985,295.50 is: 32,452,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570,074 : 20,985,295.50 = 20,985,295.50 : x
  2. Step 2: Convert to fraction form
    13,570,074/20,985,295.50 = 20,985,295.50/x
  3. Step 3: Cross multiply
    13,570,074x = 20,985,295.50 × 20,985,295.50
  4. Step 4: Simplify right side
    13,570,074x = 440,382,627,222,320.25
  5. Step 5: Solve for x
    x = 440,382,627,222,320.25/13,570,074
  6. Step 6: Final answer
    x = 32,452,485.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.