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Finding the Third Proportional to 996,423,270 and 2,140,718,960

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Solution

The third proportional to 996,423,270 and 2,140,718,960 is: 4,599,127,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,423,270 : 2,140,718,960 = 2,140,718,960 : x
  2. Step 2: Convert to fraction form
    996,423,270/2,140,718,960 = 2,140,718,960/x
  3. Step 3: Cross multiply
    996,423,270x = 2,140,718,960 × 2,140,718,960
  4. Step 4: Simplify right side
    996,423,270x = 4,582,677,665,703,481,344
  5. Step 5: Solve for x
    x = 4,582,677,665,703,481,344/996,423,270
  6. Step 6: Final answer
    x = 4,599,127,503.02

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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.