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Finding the Third Proportional to 1,041,675,025 and 2,226,609,402

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Solution

The third proportional to 1,041,675,025 and 2,226,609,402 is: 4,759,439,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,675,025 : 2,226,609,402 = 2,226,609,402 : x
  2. Step 2: Convert to fraction form
    1,041,675,025/2,226,609,402 = 2,226,609,402/x
  3. Step 3: Cross multiply
    1,041,675,025x = 2,226,609,402 × 2,226,609,402
  4. Step 4: Simplify right side
    1,041,675,025x = 4,957,789,429,074,797,568
  5. Step 5: Solve for x
    x = 4,957,789,429,074,797,568/1,041,675,025
  6. Step 6: Final answer
    x = 4,759,439,662.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.