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Finding the Third Proportional to 2,815,590,843 and 3,834,354,141

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Solution

The third proportional to 2,815,590,843 and 3,834,354,141 is: 5,221,735,862.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815,590,843 : 3,834,354,141 = 3,834,354,141 : x
  2. Step 2: Convert to fraction form
    2,815,590,843/3,834,354,141 = 3,834,354,141/x
  3. Step 3: Cross multiply
    2,815,590,843x = 3,834,354,141 × 3,834,354,141
  4. Step 4: Simplify right side
    2,815,590,843x = 14,702,271,678,603,847,680
  5. Step 5: Solve for x
    x = 14,702,271,678,603,847,680/2,815,590,843
  6. Step 6: Final answer
    x = 5,221,735,862.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.