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Finding the Third Proportional to 414,539,999,657 and 636,894,893,707

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Solution

The third proportional to 414,539,999,657 and 636,894,893,707 is: 978,518,613,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,539,999,657 : 636,894,893,707 = 636,894,893,707 : x
  2. Step 2: Convert to fraction form
    414,539,999,657/636,894,893,707 = 636,894,893,707/x
  3. Step 3: Cross multiply
    414,539,999,657x = 636,894,893,707 × 636,894,893,707
  4. Step 4: Simplify right side
    414,539,999,657x = 405,635,105,630,050,804,826,112
  5. Step 5: Solve for x
    x = 405,635,105,630,050,804,826,112/414,539,999,657
  6. Step 6: Final answer
    x = 978,518,613,320.02

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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.