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Finding the Third Proportional to 1,041,675,028 and 2,226,609,408

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Solution

The third proportional to 1,041,675,028 and 2,226,609,408 is: 4,759,439,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,675,028 : 2,226,609,408 = 2,226,609,408 : x
  2. Step 2: Convert to fraction form
    1,041,675,028/2,226,609,408 = 2,226,609,408/x
  3. Step 3: Cross multiply
    1,041,675,028x = 2,226,609,408 × 2,226,609,408
  4. Step 4: Simplify right side
    1,041,675,028x = 4,957,789,455,794,110,464
  5. Step 5: Solve for x
    x = 4,957,789,455,794,110,464/1,041,675,028
  6. Step 6: Final answer
    x = 4,759,439,674.11

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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.