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Finding the Third Proportional to 3,178,536 and 6,961,705.50

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Solution

The third proportional to 3,178,536 and 6,961,705.50 is: 15,247,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178,536 : 6,961,705.50 = 6,961,705.50 : x
  2. Step 2: Convert to fraction form
    3,178,536/6,961,705.50 = 6,961,705.50/x
  3. Step 3: Cross multiply
    3,178,536x = 6,961,705.50 × 6,961,705.50
  4. Step 4: Simplify right side
    3,178,536x = 48,465,343,468,730.25
  5. Step 5: Solve for x
    x = 48,465,343,468,730.25/3,178,536
  6. Step 6: Final answer
    x = 15,247,693.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.