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Finding the Third Proportional to 6,244,097,585 and 13,483,396,035

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Solution

The third proportional to 6,244,097,585 and 13,483,396,035 is: 29,115,811,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244,097,585 : 13,483,396,035 = 13,483,396,035 : x
  2. Step 2: Convert to fraction form
    6,244,097,585/13,483,396,035 = 13,483,396,035/x
  3. Step 3: Cross multiply
    6,244,097,585x = 13,483,396,035 × 13,483,396,035
  4. Step 4: Simplify right side
    6,244,097,585x = 181,801,968,636,653,731,840
  5. Step 5: Solve for x
    x = 181,801,968,636,653,731,840/6,244,097,585
  6. Step 6: Final answer
    x = 29,115,811,558.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.