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Finding the Third Proportional to 991,714,236 and 2,161,992,900

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Solution

The third proportional to 991,714,236 and 2,161,992,900 is: 4,713,266,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,714,236 : 2,161,992,900 = 2,161,992,900 : x
  2. Step 2: Convert to fraction form
    991,714,236/2,161,992,900 = 2,161,992,900/x
  3. Step 3: Cross multiply
    991,714,236x = 2,161,992,900 × 2,161,992,900
  4. Step 4: Simplify right side
    991,714,236x = 4,674,213,299,650,410,496
  5. Step 5: Solve for x
    x = 4,674,213,299,650,410,496/991,714,236
  6. Step 6: Final answer
    x = 4,713,266,311.98

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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.