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Finding the Third Proportional to 3,932,095.64 and 5,312,505.23

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Solution

The third proportional to 3,932,095.64 and 5,312,505.23 is: 7,177,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932,095.64 : 5,312,505.23 = 5,312,505.23 : x
  2. Step 2: Convert to fraction form
    3,932,095.64/5,312,505.23 = 5,312,505.23/x
  3. Step 3: Cross multiply
    3,932,095.64x = 5,312,505.23 × 5,312,505.23
  4. Step 4: Simplify right side
    3,932,095.64x = 28,222,711,865,261.77
  5. Step 5: Solve for x
    x = 28,222,711,865,261.77/3,932,095.64
  6. Step 6: Final answer
    x = 7,177,524.26

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.