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Finding the Third Proportional to 117,546,894 and 274,491,776

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Solution

The third proportional to 117,546,894 and 274,491,776 is: 640,984,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,546,894 : 274,491,776 = 274,491,776 : x
  2. Step 2: Convert to fraction form
    117,546,894/274,491,776 = 274,491,776/x
  3. Step 3: Cross multiply
    117,546,894x = 274,491,776 × 274,491,776
  4. Step 4: Simplify right side
    117,546,894x = 75,345,735,091,634,176
  5. Step 5: Solve for x
    x = 75,345,735,091,634,176/117,546,894
  6. Step 6: Final answer
    x = 640,984,483.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.