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Finding the Third Proportional to 2,782,253,169 and 6,000,342,084

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Solution

The third proportional to 2,782,253,169 and 6,000,342,084 is: 12,940,628,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782,253,169 : 6,000,342,084 = 6,000,342,084 : x
  2. Step 2: Convert to fraction form
    2,782,253,169/6,000,342,084 = 6,000,342,084/x
  3. Step 3: Cross multiply
    2,782,253,169x = 6,000,342,084 × 6,000,342,084
  4. Step 4: Simplify right side
    2,782,253,169x = 36,004,105,125,021,462,528
  5. Step 5: Solve for x
    x = 36,004,105,125,021,462,528/2,782,253,169
  6. Step 6: Final answer
    x = 12,940,628,669.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.