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Finding the Third Proportional to 1,753,676,736.75 and 3,816,071,217

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Solution

The third proportional to 1,753,676,736.75 and 3,816,071,217 is: 8,303,924,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,676,736.75 : 3,816,071,217 = 3,816,071,217 : x
  2. Step 2: Convert to fraction form
    1,753,676,736.75/3,816,071,217 = 3,816,071,217/x
  3. Step 3: Cross multiply
    1,753,676,736.75x = 3,816,071,217 × 3,816,071,217
  4. Step 4: Simplify right side
    1,753,676,736.75x = 14,562,399,533,215,860,736
  5. Step 5: Solve for x
    x = 14,562,399,533,215,860,736/1,753,676,736.75
  6. Step 6: Final answer
    x = 8,303,924,678.96

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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.