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Finding the Third Proportional to 1,883,319,552 and 3,101,082,624

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Solution

The third proportional to 1,883,319,552 and 3,101,082,624 is: 5,106,256,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883,319,552 : 3,101,082,624 = 3,101,082,624 : x
  2. Step 2: Convert to fraction form
    1,883,319,552/3,101,082,624 = 3,101,082,624/x
  3. Step 3: Cross multiply
    1,883,319,552x = 3,101,082,624 × 3,101,082,624
  4. Step 4: Simplify right side
    1,883,319,552x = 9,616,713,440,874,725,376
  5. Step 5: Solve for x
    x = 9,616,713,440,874,725,376/1,883,319,552
  6. Step 6: Final answer
    x = 5,106,256,891.28

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.