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Finding the Third Proportional to 538,937,226 and 1,169,349,021

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Solution

The third proportional to 538,937,226 and 1,169,349,021 is: 2,537,173,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,937,226 : 1,169,349,021 = 1,169,349,021 : x
  2. Step 2: Convert to fraction form
    538,937,226/1,169,349,021 = 1,169,349,021/x
  3. Step 3: Cross multiply
    538,937,226x = 1,169,349,021 × 1,169,349,021
  4. Step 4: Simplify right side
    538,937,226x = 1,367,377,132,913,658,368
  5. Step 5: Solve for x
    x = 1,367,377,132,913,658,368/538,937,226
  6. Step 6: Final answer
    x = 2,537,173,286.51

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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.