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Finding the Third Proportional to 77,197,275,654 and 168,064,260,492

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Solution

The third proportional to 77,197,275,654 and 168,064,260,492 is: 365,888,503,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,197,275,654 : 168,064,260,492 = 168,064,260,492 : x
  2. Step 2: Convert to fraction form
    77,197,275,654/168,064,260,492 = 168,064,260,492/x
  3. Step 3: Cross multiply
    77,197,275,654x = 168,064,260,492 × 168,064,260,492
  4. Step 4: Simplify right side
    77,197,275,654x = 28,245,595,654,722,833,874,944
  5. Step 5: Solve for x
    x = 28,245,595,654,722,833,874,944/77,197,275,654
  6. Step 6: Final answer
    x = 365,888,503,388.65

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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.