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Finding the Third Proportional to 383,452,997.63 and 828,197,034.75

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Solution

The third proportional to 383,452,997.63 and 828,197,034.75 is: 1,788,772,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,452,997.63 : 828,197,034.75 = 828,197,034.75 : x
  2. Step 2: Convert to fraction form
    383,452,997.63/828,197,034.75 = 828,197,034.75/x
  3. Step 3: Cross multiply
    383,452,997.63x = 828,197,034.75 × 828,197,034.75
  4. Step 4: Simplify right side
    383,452,997.63x = 685,910,328,368,692,736
  5. Step 5: Solve for x
    x = 685,910,328,368,692,736/383,452,997.63
  6. Step 6: Final answer
    x = 1,788,772,894.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.