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Finding the Third Proportional to 6,814,496.25 and 14,574,505.50

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Solution

The third proportional to 6,814,496.25 and 14,574,505.50 is: 31,171,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814,496.25 : 14,574,505.50 = 14,574,505.50 : x
  2. Step 2: Convert to fraction form
    6,814,496.25/14,574,505.50 = 14,574,505.50/x
  3. Step 3: Cross multiply
    6,814,496.25x = 14,574,505.50 × 14,574,505.50
  4. Step 4: Simplify right side
    6,814,496.25x = 212,416,210,569,530.25
  5. Step 5: Solve for x
    x = 212,416,210,569,530.25/6,814,496.25
  6. Step 6: Final answer
    x = 31,171,227.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.