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Finding the Third Proportional to 117,378,512 and 257,431,816

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Solution

The third proportional to 117,378,512 and 257,431,816 is: 564,593,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,378,512 : 257,431,816 = 257,431,816 : x
  2. Step 2: Convert to fraction form
    117,378,512/257,431,816 = 257,431,816/x
  3. Step 3: Cross multiply
    117,378,512x = 257,431,816 × 257,431,816
  4. Step 4: Simplify right side
    117,378,512x = 66,271,139,889,057,856
  5. Step 5: Solve for x
    x = 66,271,139,889,057,856/117,378,512
  6. Step 6: Final answer
    x = 564,593,457.18

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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.