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Finding the Third Proportional to 996,423,273 and 2,140,718,964.75

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Solution

The third proportional to 996,423,273 and 2,140,718,964.75 is: 4,599,127,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,423,273 : 2,140,718,964.75 = 2,140,718,964.75 : x
  2. Step 2: Convert to fraction form
    996,423,273/2,140,718,964.75 = 2,140,718,964.75/x
  3. Step 3: Cross multiply
    996,423,273x = 2,140,718,964.75 × 2,140,718,964.75
  4. Step 4: Simplify right side
    996,423,273x = 4,582,677,686,040,311,808
  5. Step 5: Solve for x
    x = 4,582,677,686,040,311,808/996,423,273
  6. Step 6: Final answer
    x = 4,599,127,509.58

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