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Finding the Third Proportional to 60,607,669,742 and 85,240,632,524

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Solution

The third proportional to 60,607,669,742 and 85,240,632,524 is: 119,885,246,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,607,669,742 : 85,240,632,524 = 85,240,632,524 : x
  2. Step 2: Convert to fraction form
    60,607,669,742/85,240,632,524 = 85,240,632,524/x
  3. Step 3: Cross multiply
    60,607,669,742x = 85,240,632,524 × 85,240,632,524
  4. Step 4: Simplify right side
    60,607,669,742x = 7,265,965,433,091,606,446,080
  5. Step 5: Solve for x
    x = 7,265,965,433,091,606,446,080/60,607,669,742
  6. Step 6: Final answer
    x = 119,885,246,603.64

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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.