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Finding the Third Proportional to 1,105,014,622 and 1,657,116,180

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Solution

The third proportional to 1,105,014,622 and 1,657,116,180 is: 2,485,065,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,014,622 : 1,657,116,180 = 1,657,116,180 : x
  2. Step 2: Convert to fraction form
    1,105,014,622/1,657,116,180 = 1,657,116,180/x
  3. Step 3: Cross multiply
    1,105,014,622x = 1,657,116,180 × 1,657,116,180
  4. Step 4: Simplify right side
    1,105,014,622x = 2,746,034,034,017,792,512
  5. Step 5: Solve for x
    x = 2,746,034,034,017,792,512/1,105,014,622
  6. Step 6: Final answer
    x = 2,485,065,789.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.