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Finding the Third Proportional to 2,051,603,107 and 4,838,250,213

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Solution

The third proportional to 2,051,603,107 and 4,838,250,213 is: 11,409,938,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,603,107 : 4,838,250,213 = 4,838,250,213 : x
  2. Step 2: Convert to fraction form
    2,051,603,107/4,838,250,213 = 4,838,250,213/x
  3. Step 3: Cross multiply
    2,051,603,107x = 4,838,250,213 × 4,838,250,213
  4. Step 4: Simplify right side
    2,051,603,107x = 23,408,665,123,594,547,200
  5. Step 5: Solve for x
    x = 23,408,665,123,594,547,200/2,051,603,107
  6. Step 6: Final answer
    x = 11,409,938,425.09

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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.