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Finding the Third Proportional to 414,539,999,690 and 636,894,893,751

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Solution

The third proportional to 414,539,999,690 and 636,894,893,751 is: 978,518,613,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,539,999,690 : 636,894,893,751 = 636,894,893,751 : x
  2. Step 2: Convert to fraction form
    414,539,999,690/636,894,893,751 = 636,894,893,751/x
  3. Step 3: Cross multiply
    414,539,999,690x = 636,894,893,751 × 636,894,893,751
  4. Step 4: Simplify right side
    414,539,999,690x = 405,635,105,686,097,577,902,080
  5. Step 5: Solve for x
    x = 405,635,105,686,097,577,902,080/414,539,999,690
  6. Step 6: Final answer
    x = 978,518,613,377.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.