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Finding the Third Proportional to 538,937,234 and 1,169,349,037

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Solution

The third proportional to 538,937,234 and 1,169,349,037 is: 2,537,173,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,937,234 : 1,169,349,037 = 1,169,349,037 : x
  2. Step 2: Convert to fraction form
    538,937,234/1,169,349,037 = 1,169,349,037/x
  3. Step 3: Cross multiply
    538,937,234x = 1,169,349,037 × 1,169,349,037
  4. Step 4: Simplify right side
    538,937,234x = 1,367,377,170,332,827,392
  5. Step 5: Solve for x
    x = 1,367,377,170,332,827,392/538,937,234
  6. Step 6: Final answer
    x = 2,537,173,318.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.