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Finding the Third Proportional to 5,995,176 and 9,142,164

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Solution

The third proportional to 5,995,176 and 9,142,164 is: 13,941,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995,176 : 9,142,164 = 9,142,164 : x
  2. Step 2: Convert to fraction form
    5,995,176/9,142,164 = 9,142,164/x
  3. Step 3: Cross multiply
    5,995,176x = 9,142,164 × 9,142,164
  4. Step 4: Simplify right side
    5,995,176x = 83,579,162,602,896
  5. Step 5: Solve for x
    x = 83,579,162,602,896/5,995,176
  6. Step 6: Final answer
    x = 13,941,069.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.