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Finding the Third Proportional to 212,715,405 and 462,700,746

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Solution

The third proportional to 212,715,405 and 462,700,746 is: 1,006,471,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,715,405 : 462,700,746 = 462,700,746 : x
  2. Step 2: Convert to fraction form
    212,715,405/462,700,746 = 462,700,746/x
  3. Step 3: Cross multiply
    212,715,405x = 462,700,746 × 462,700,746
  4. Step 4: Simplify right side
    212,715,405x = 214,091,980,348,956,512
  5. Step 5: Solve for x
    x = 214,091,980,348,956,512/212,715,405
  6. Step 6: Final answer
    x = 1,006,471,441.73

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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.