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Finding the Third Proportional to 538,937,232 and 1,169,349,033

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Solution

The third proportional to 538,937,232 and 1,169,349,033 is: 2,537,173,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,937,232 : 1,169,349,033 = 1,169,349,033 : x
  2. Step 2: Convert to fraction form
    538,937,232/1,169,349,033 = 1,169,349,033/x
  3. Step 3: Cross multiply
    538,937,232x = 1,169,349,033 × 1,169,349,033
  4. Step 4: Simplify right side
    538,937,232x = 1,367,377,160,978,035,200
  5. Step 5: Solve for x
    x = 1,367,377,160,978,035,200/538,937,232
  6. Step 6: Final answer
    x = 2,537,173,310.34

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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.