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Finding the Third Proportional to 253,913,910 and 357,566,736

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Solution

The third proportional to 253,913,910 and 357,566,736 is: 503,532,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,913,910 : 357,566,736 = 357,566,736 : x
  2. Step 2: Convert to fraction form
    253,913,910/357,566,736 = 357,566,736/x
  3. Step 3: Cross multiply
    253,913,910x = 357,566,736 × 357,566,736
  4. Step 4: Simplify right side
    253,913,910x = 127,853,970,693,693,696
  5. Step 5: Solve for x
    x = 127,853,970,693,693,696/253,913,910
  6. Step 6: Final answer
    x = 503,532,755.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.