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Finding the Third Proportional to 264,932,596,394.50 and 577,815,204,542

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Solution

The third proportional to 264,932,596,394.50 and 577,815,204,542 is: 1,260,208,880,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,932,596,394.50 : 577,815,204,542 = 577,815,204,542 : x
  2. Step 2: Convert to fraction form
    264,932,596,394.50/577,815,204,542 = 577,815,204,542/x
  3. Step 3: Cross multiply
    264,932,596,394.50x = 577,815,204,542 × 577,815,204,542
  4. Step 4: Simplify right side
    264,932,596,394.50x = 333,870,410,599,913,282,863,104
  5. Step 5: Solve for x
    x = 333,870,410,599,913,282,863,104/264,932,596,394.50
  6. Step 6: Final answer
    x = 1,260,208,880,083.45

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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.