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Finding the Third Proportional to 264,932,598,277.50 and 577,815,208,005

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Solution

The third proportional to 264,932,598,277.50 and 577,815,208,005 is: 1,260,208,886,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,932,598,277.50 : 577,815,208,005 = 577,815,208,005 : x
  2. Step 2: Convert to fraction form
    264,932,598,277.50/577,815,208,005 = 577,815,208,005/x
  3. Step 3: Cross multiply
    264,932,598,277.50x = 577,815,208,005 × 577,815,208,005
  4. Step 4: Simplify right side
    264,932,598,277.50x = 333,870,414,601,861,401,149,440
  5. Step 5: Solve for x
    x = 333,870,414,601,861,401,149,440/264,932,598,277.50
  6. Step 6: Final answer
    x = 1,260,208,886,232.09

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