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Finding the Third Proportional to 7,478,236.13 and 16,266,737.81

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Solution

The third proportional to 7,478,236.13 and 16,266,737.81 is: 35,383,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478,236.13 : 16,266,737.81 = 16,266,737.81 : x
  2. Step 2: Convert to fraction form
    7,478,236.13/16,266,737.81 = 16,266,737.81/x
  3. Step 3: Cross multiply
    7,478,236.13x = 16,266,737.81 × 16,266,737.81
  4. Step 4: Simplify right side
    7,478,236.13x = 264,606,759,060,617.28
  5. Step 5: Solve for x
    x = 264,606,759,060,617.28/7,478,236.13
  6. Step 6: Final answer
    x = 35,383,579.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.