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Finding the Third Proportional to 609,828,149 and 822,801,349.50

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Solution

The third proportional to 609,828,149 and 822,801,349.50 is: 1,110,152,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,828,149 : 822,801,349.50 = 822,801,349.50 : x
  2. Step 2: Convert to fraction form
    609,828,149/822,801,349.50 = 822,801,349.50/x
  3. Step 3: Cross multiply
    609,828,149x = 822,801,349.50 × 822,801,349.50
  4. Step 4: Simplify right side
    609,828,149x = 677,002,060,739,021,184
  5. Step 5: Solve for x
    x = 677,002,060,739,021,184/609,828,149
  6. Step 6: Final answer
    x = 1,110,152,199.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.