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Finding the Third Proportional to 2,051,603,318 and 4,838,251,019

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Solution

The third proportional to 2,051,603,318 and 4,838,251,019 is: 11,409,941,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,603,318 : 4,838,251,019 = 4,838,251,019 : x
  2. Step 2: Convert to fraction form
    2,051,603,318/4,838,251,019 = 4,838,251,019/x
  3. Step 3: Cross multiply
    2,051,603,318x = 4,838,251,019 × 4,838,251,019
  4. Step 4: Simplify right side
    2,051,603,318x = 23,408,672,922,854,539,264
  5. Step 5: Solve for x
    x = 23,408,672,922,854,539,264/2,051,603,318
  6. Step 6: Final answer
    x = 11,409,941,053.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.