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Finding the Third Proportional to 293,296,215 and 637,037,814

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Solution

The third proportional to 293,296,215 and 637,037,814 is: 1,383,642,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,296,215 : 637,037,814 = 637,037,814 : x
  2. Step 2: Convert to fraction form
    293,296,215/637,037,814 = 637,037,814/x
  3. Step 3: Cross multiply
    293,296,215x = 637,037,814 × 637,037,814
  4. Step 4: Simplify right side
    293,296,215x = 405,817,176,465,898,624
  5. Step 5: Solve for x
    x = 405,817,176,465,898,624/293,296,215
  6. Step 6: Final answer
    x = 1,383,642,732.88

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