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Finding the Third Proportional to 4,134,607,907 and 6,355,183,341

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Solution

The third proportional to 4,134,607,907 and 6,355,183,341 is: 9,768,364,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134,607,907 : 6,355,183,341 = 6,355,183,341 : x
  2. Step 2: Convert to fraction form
    4,134,607,907/6,355,183,341 = 6,355,183,341/x
  3. Step 3: Cross multiply
    4,134,607,907x = 6,355,183,341 × 6,355,183,341
  4. Step 4: Simplify right side
    4,134,607,907x = 40,388,355,297,723,924,480
  5. Step 5: Solve for x
    x = 40,388,355,297,723,924,480/4,134,607,907
  6. Step 6: Final answer
    x = 9,768,364,064.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.