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Finding the Third Proportional to 61,701,077,646 and 86,888,713,754.81

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Solution

The third proportional to 61,701,077,646 and 86,888,713,754.81 is: 122,358,455,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,701,077,646 : 86,888,713,754.81 = 86,888,713,754.81 : x
  2. Step 2: Convert to fraction form
    61,701,077,646/86,888,713,754.81 = 86,888,713,754.81/x
  3. Step 3: Cross multiply
    61,701,077,646x = 86,888,713,754.81 × 86,888,713,754.81
  4. Step 4: Simplify right side
    61,701,077,646x = 7,549,648,577,965,308,510,208
  5. Step 5: Solve for x
    x = 7,549,648,577,965,308,510,208/61,701,077,646
  6. Step 6: Final answer
    x = 122,358,455,735.25

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Why These Related Problems?

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