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Finding the Third Proportional to 274,373,930,870 and 594,340,318,052

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Solution

The third proportional to 274,373,930,870 and 594,340,318,052 is: 1,287,441,604,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,373,930,870 : 594,340,318,052 = 594,340,318,052 : x
  2. Step 2: Convert to fraction form
    274,373,930,870/594,340,318,052 = 594,340,318,052/x
  3. Step 3: Cross multiply
    274,373,930,870x = 594,340,318,052 × 594,340,318,052
  4. Step 4: Simplify right side
    274,373,930,870x = 353,240,413,662,152,547,631,104
  5. Step 5: Solve for x
    x = 353,240,413,662,152,547,631,104/274,373,930,870
  6. Step 6: Final answer
    x = 1,287,441,604,025.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.