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Finding the Third Proportional to 2,413,057,640 and 5,195,879,639

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Solution

The third proportional to 2,413,057,640 and 5,195,879,639 is: 11,187,948,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413,057,640 : 5,195,879,639 = 5,195,879,639 : x
  2. Step 2: Convert to fraction form
    2,413,057,640/5,195,879,639 = 5,195,879,639/x
  3. Step 3: Cross multiply
    2,413,057,640x = 5,195,879,639 × 5,195,879,639
  4. Step 4: Simplify right side
    2,413,057,640x = 26,997,165,222,974,771,200
  5. Step 5: Solve for x
    x = 26,997,165,222,974,771,200/2,413,057,640
  6. Step 6: Final answer
    x = 11,187,948,756.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.