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Finding the Third Proportional to 76,953,225,478 and 165,487,646,777

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Solution

The third proportional to 76,953,225,478 and 165,487,646,777 is: 355,880,615,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,953,225,478 : 165,487,646,777 = 165,487,646,777 : x
  2. Step 2: Convert to fraction form
    76,953,225,478/165,487,646,777 = 165,487,646,777/x
  3. Step 3: Cross multiply
    76,953,225,478x = 165,487,646,777 × 165,487,646,777
  4. Step 4: Simplify right side
    76,953,225,478x = 27,386,161,235,789,120,274,432
  5. Step 5: Solve for x
    x = 27,386,161,235,789,120,274,432/76,953,225,478
  6. Step 6: Final answer
    x = 355,880,615,343.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.