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Finding the Third Proportional to 530,822,646 and 796,234,070.25

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Solution

The third proportional to 530,822,646 and 796,234,070.25 is: 1,194,351,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,822,646 : 796,234,070.25 = 796,234,070.25 : x
  2. Step 2: Convert to fraction form
    530,822,646/796,234,070.25 = 796,234,070.25/x
  3. Step 3: Cross multiply
    530,822,646x = 796,234,070.25 × 796,234,070.25
  4. Step 4: Simplify right side
    530,822,646x = 633,988,694,626,881,920
  5. Step 5: Solve for x
    x = 633,988,694,626,881,920/530,822,646
  6. Step 6: Final answer
    x = 1,194,351,257.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.