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Finding the Third Proportional to 270,025,509 and 589,113,568.50

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Solution

The third proportional to 270,025,509 and 589,113,568.50 is: 1,285,266,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,025,509 : 589,113,568.50 = 589,113,568.50 : x
  2. Step 2: Convert to fraction form
    270,025,509/589,113,568.50 = 589,113,568.50/x
  3. Step 3: Cross multiply
    270,025,509x = 589,113,568.50 × 589,113,568.50
  4. Step 4: Simplify right side
    270,025,509x = 347,054,796,590,804,224
  5. Step 5: Solve for x
    x = 347,054,796,590,804,224/270,025,509
  6. Step 6: Final answer
    x = 1,285,266,706.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.