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Finding the Third Proportional to 3,191,316.75 and 4,846,069.13

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Solution

The third proportional to 3,191,316.75 and 4,846,069.13 is: 7,358,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191,316.75 : 4,846,069.13 = 4,846,069.13 : x
  2. Step 2: Convert to fraction form
    3,191,316.75/4,846,069.13 = 4,846,069.13/x
  3. Step 3: Cross multiply
    3,191,316.75x = 4,846,069.13 × 4,846,069.13
  4. Step 4: Simplify right side
    3,191,316.75x = 23,484,385,964,278.27
  5. Step 5: Solve for x
    x = 23,484,385,964,278.27/3,191,316.75
  6. Step 6: Final answer
    x = 7,358,838.94

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Why These Related Problems?

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