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Finding the Third Proportional to 535,553,614 and 827,566,134

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Solution

The third proportional to 535,553,614 and 827,566,134 is: 1,278,799,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,553,614 : 827,566,134 = 827,566,134 : x
  2. Step 2: Convert to fraction form
    535,553,614/827,566,134 = 827,566,134/x
  3. Step 3: Cross multiply
    535,553,614x = 827,566,134 × 827,566,134
  4. Step 4: Simplify right side
    535,553,614x = 684,865,706,143,705,984
  5. Step 5: Solve for x
    x = 684,865,706,143,705,984/535,553,614
  6. Step 6: Final answer
    x = 1,278,799,523.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.