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Finding the Third Proportional to 535,577,220 and 827,243,166

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Solution

The third proportional to 535,577,220 and 827,243,166 is: 1,277,745,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,577,220 : 827,243,166 = 827,243,166 : x
  2. Step 2: Convert to fraction form
    535,577,220/827,243,166 = 827,243,166/x
  3. Step 3: Cross multiply
    535,577,220x = 827,243,166 × 827,243,166
  4. Step 4: Simplify right side
    535,577,220x = 684,331,255,693,703,552
  5. Step 5: Solve for x
    x = 684,331,255,693,703,552/535,577,220
  6. Step 6: Final answer
    x = 1,277,745,262.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.