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Finding the Third Proportional to 414,539,999,662.50 and 636,894,893,718

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Solution

The third proportional to 414,539,999,662.50 and 636,894,893,718 is: 978,518,613,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,539,999,662.50 : 636,894,893,718 = 636,894,893,718 : x
  2. Step 2: Convert to fraction form
    414,539,999,662.50/636,894,893,718 = 636,894,893,718/x
  3. Step 3: Cross multiply
    414,539,999,662.50x = 636,894,893,718 × 636,894,893,718
  4. Step 4: Simplify right side
    414,539,999,662.50x = 405,635,105,644,062,531,649,536
  5. Step 5: Solve for x
    x = 405,635,105,644,062,531,649,536/414,539,999,662.50
  6. Step 6: Final answer
    x = 978,518,613,340.84

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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.