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Finding the Third Proportional to 3,476,611.13 and 5,114,436.19

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Solution

The third proportional to 3,476,611.13 and 5,114,436.19 is: 7,523,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476,611.13 : 5,114,436.19 = 5,114,436.19 : x
  2. Step 2: Convert to fraction form
    3,476,611.13/5,114,436.19 = 5,114,436.19/x
  3. Step 3: Cross multiply
    3,476,611.13x = 5,114,436.19 × 5,114,436.19
  4. Step 4: Simplify right side
    3,476,611.13x = 26,157,457,516,009.54
  5. Step 5: Solve for x
    x = 26,157,457,516,009.54/3,476,611.13
  6. Step 6: Final answer
    x = 7,523,837.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.