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Finding the Third Proportional to 1,756,152,453 and 3,792,205,151

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Solution

The third proportional to 1,756,152,453 and 3,792,205,151 is: 8,188,822,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756,152,453 : 3,792,205,151 = 3,792,205,151 : x
  2. Step 2: Convert to fraction form
    1,756,152,453/3,792,205,151 = 3,792,205,151/x
  3. Step 3: Cross multiply
    1,756,152,453x = 3,792,205,151 × 3,792,205,151
  4. Step 4: Simplify right side
    1,756,152,453x = 14,380,819,907,270,932,480
  5. Step 5: Solve for x
    x = 14,380,819,907,270,932,480/1,756,152,453
  6. Step 6: Final answer
    x = 8,188,822,036.89

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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.