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Finding the Third Proportional to 373,860,769 and 813,553,786

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Solution

The third proportional to 373,860,769 and 813,553,786 is: 1,770,364,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,860,769 : 813,553,786 = 813,553,786 : x
  2. Step 2: Convert to fraction form
    373,860,769/813,553,786 = 813,553,786/x
  3. Step 3: Cross multiply
    373,860,769x = 813,553,786 × 813,553,786
  4. Step 4: Simplify right side
    373,860,769x = 661,869,762,714,933,760
  5. Step 5: Solve for x
    x = 661,869,762,714,933,760/373,860,769
  6. Step 6: Final answer
    x = 1,770,364,310.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.