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Finding the Third Proportional to 462,968,340,156 and 996,875,550,756

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Solution

The third proportional to 462,968,340,156 and 996,875,550,756 is: 2,146,498,534,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,968,340,156 : 996,875,550,756 = 996,875,550,756 : x
  2. Step 2: Convert to fraction form
    462,968,340,156/996,875,550,756 = 996,875,550,756/x
  3. Step 3: Cross multiply
    462,968,340,156x = 996,875,550,756 × 996,875,550,756
  4. Step 4: Simplify right side
    462,968,340,156x = 993,760,863,695,078,370,050,048
  5. Step 5: Solve for x
    x = 993,760,863,695,078,370,050,048/462,968,340,156
  6. Step 6: Final answer
    x = 2,146,498,534,565.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.