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Finding the Third Proportional to 1,041,675,024 and 2,226,609,400

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Solution

The third proportional to 1,041,675,024 and 2,226,609,400 is: 4,759,439,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,675,024 : 2,226,609,400 = 2,226,609,400 : x
  2. Step 2: Convert to fraction form
    1,041,675,024/2,226,609,400 = 2,226,609,400/x
  3. Step 3: Cross multiply
    1,041,675,024x = 2,226,609,400 × 2,226,609,400
  4. Step 4: Simplify right side
    1,041,675,024x = 4,957,789,420,168,359,936
  5. Step 5: Solve for x
    x = 4,957,789,420,168,359,936/1,041,675,024
  6. Step 6: Final answer
    x = 4,759,439,658.19

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Why These Related Problems?

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