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Finding the Third Proportional to 3,376,205,316 and 5,099,587,900

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Solution

The third proportional to 3,376,205,316 and 5,099,587,900 is: 7,702,670,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376,205,316 : 5,099,587,900 = 5,099,587,900 : x
  2. Step 2: Convert to fraction form
    3,376,205,316/5,099,587,900 = 5,099,587,900/x
  3. Step 3: Cross multiply
    3,376,205,316x = 5,099,587,900 × 5,099,587,900
  4. Step 4: Simplify right side
    3,376,205,316x = 26,005,796,749,826,408,448
  5. Step 5: Solve for x
    x = 26,005,796,749,826,408,448/3,376,205,316
  6. Step 6: Final answer
    x = 7,702,670,399.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.