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Finding the Third Proportional to 174,507,447 and 270,579,807

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Solution

The third proportional to 174,507,447 and 270,579,807 is: 419,543,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,507,447 : 270,579,807 = 270,579,807 : x
  2. Step 2: Convert to fraction form
    174,507,447/270,579,807 = 270,579,807/x
  3. Step 3: Cross multiply
    174,507,447x = 270,579,807 × 270,579,807
  4. Step 4: Simplify right side
    174,507,447x = 73,213,431,956,157,248
  5. Step 5: Solve for x
    x = 73,213,431,956,157,248/174,507,447
  6. Step 6: Final answer
    x = 419,543,310.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.