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Finding the Third Proportional to 566,081,460 and 853,111,278

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Solution

The third proportional to 566,081,460 and 853,111,278 is: 1,285,678,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,081,460 : 853,111,278 = 853,111,278 : x
  2. Step 2: Convert to fraction form
    566,081,460/853,111,278 = 853,111,278/x
  3. Step 3: Cross multiply
    566,081,460x = 853,111,278 × 853,111,278
  4. Step 4: Simplify right side
    566,081,460x = 727,798,852,650,793,344
  5. Step 5: Solve for x
    x = 727,798,852,650,793,344/566,081,460
  6. Step 6: Final answer
    x = 1,285,678,659.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.