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Finding the Third Proportional to 414,539,999,655.75 and 636,894,893,705.64

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Solution

The third proportional to 414,539,999,655.75 and 636,894,893,705.64 is: 978,518,613,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,539,999,655.75 : 636,894,893,705.64 = 636,894,893,705.64 : x
  2. Step 2: Convert to fraction form
    414,539,999,655.75/636,894,893,705.64 = 636,894,893,705.64/x
  3. Step 3: Cross multiply
    414,539,999,655.75x = 636,894,893,705.64 × 636,894,893,705.64
  4. Step 4: Simplify right side
    414,539,999,655.75x = 405,635,105,628,318,523,719,680
  5. Step 5: Solve for x
    x = 405,635,105,628,318,523,719,680/414,539,999,655.75
  6. Step 6: Final answer
    x = 978,518,613,318.80

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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.