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Finding the Third Proportional to 3,084,042,564 and 4,698,339,876

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Solution

The third proportional to 3,084,042,564 and 4,698,339,876 is: 7,157,617,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,042,564 : 4,698,339,876 = 4,698,339,876 : x
  2. Step 2: Convert to fraction form
    3,084,042,564/4,698,339,876 = 4,698,339,876/x
  3. Step 3: Cross multiply
    3,084,042,564x = 4,698,339,876 × 4,698,339,876
  4. Step 4: Simplify right side
    3,084,042,564x = 22,074,397,590,411,694,080
  5. Step 5: Solve for x
    x = 22,074,397,590,411,694,080/3,084,042,564
  6. Step 6: Final answer
    x = 7,157,617,682.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.