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Finding the Third Proportional to 2,051,603,316 and 4,838,251,014

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Solution

The third proportional to 2,051,603,316 and 4,838,251,014 is: 11,409,941,040.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,603,316 : 4,838,251,014 = 4,838,251,014 : x
  2. Step 2: Convert to fraction form
    2,051,603,316/4,838,251,014 = 4,838,251,014/x
  3. Step 3: Cross multiply
    2,051,603,316x = 4,838,251,014 × 4,838,251,014
  4. Step 4: Simplify right side
    2,051,603,316x = 23,408,672,874,472,030,208
  5. Step 5: Solve for x
    x = 23,408,672,874,472,030,208/2,051,603,316
  6. Step 6: Final answer
    x = 11,409,941,040.70

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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.