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Finding the Third Proportional to 32,069,149.80 and 70,016,587.31

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Solution

The third proportional to 32,069,149.80 and 70,016,587.31 is: 152,867,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069,149.80 : 70,016,587.31 = 70,016,587.31 : x
  2. Step 2: Convert to fraction form
    32,069,149.80/70,016,587.31 = 70,016,587.31/x
  3. Step 3: Cross multiply
    32,069,149.80x = 70,016,587.31 × 70,016,587.31
  4. Step 4: Simplify right side
    32,069,149.80x = 4,902,322,498,888,936
  5. Step 5: Solve for x
    x = 4,902,322,498,888,936/32,069,149.80
  6. Step 6: Final answer
    x = 152,867,242.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.