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Finding the Third Proportional to 61,701,077,617 and 86,888,713,714

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Solution

The third proportional to 61,701,077,617 and 86,888,713,714 is: 122,358,455,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,701,077,617 : 86,888,713,714 = 86,888,713,714 : x
  2. Step 2: Convert to fraction form
    61,701,077,617/86,888,713,714 = 86,888,713,714/x
  3. Step 3: Cross multiply
    61,701,077,617x = 86,888,713,714 × 86,888,713,714
  4. Step 4: Simplify right side
    61,701,077,617x = 7,549,648,570,873,451,380,736
  5. Step 5: Solve for x
    x = 7,549,648,570,873,451,380,736/61,701,077,617
  6. Step 6: Final answer
    x = 122,358,455,677.82

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.