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Finding the Third Proportional to 78,110,068,995 and 169,535,923,692

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Solution

The third proportional to 78,110,068,995 and 169,535,923,692 is: 367,973,422,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,110,068,995 : 169,535,923,692 = 169,535,923,692 : x
  2. Step 2: Convert to fraction form
    78,110,068,995/169,535,923,692 = 169,535,923,692/x
  3. Step 3: Cross multiply
    78,110,068,995x = 169,535,923,692 × 169,535,923,692
  4. Step 4: Simplify right side
    78,110,068,995x = 28,742,429,422,099,646,906,368
  5. Step 5: Solve for x
    x = 28,742,429,422,099,646,906,368/78,110,068,995
  6. Step 6: Final answer
    x = 367,973,422,529.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.