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Finding the Third Proportional to 77,197,275,652 and 168,064,260,488

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Solution

The third proportional to 77,197,275,652 and 168,064,260,488 is: 365,888,503,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,197,275,652 : 168,064,260,488 = 168,064,260,488 : x
  2. Step 2: Convert to fraction form
    77,197,275,652/168,064,260,488 = 168,064,260,488/x
  3. Step 3: Cross multiply
    77,197,275,652x = 168,064,260,488 × 168,064,260,488
  4. Step 4: Simplify right side
    77,197,275,652x = 28,245,595,653,378,316,173,312
  5. Step 5: Solve for x
    x = 28,245,595,653,378,316,173,312/77,197,275,652
  6. Step 6: Final answer
    x = 365,888,503,380.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.