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Finding the Third Proportional to 2,612,474,970 and 5,640,537,936

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Solution

The third proportional to 2,612,474,970 and 5,640,537,936 is: 12,178,362,883.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612,474,970 : 5,640,537,936 = 5,640,537,936 : x
  2. Step 2: Convert to fraction form
    2,612,474,970/5,640,537,936 = 5,640,537,936/x
  3. Step 3: Cross multiply
    2,612,474,970x = 5,640,537,936 × 5,640,537,936
  4. Step 4: Simplify right side
    2,612,474,970x = 31,815,668,207,455,141,888
  5. Step 5: Solve for x
    x = 31,815,668,207,455,141,888/2,612,474,970
  6. Step 6: Final answer
    x = 12,178,362,883.02

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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.