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Finding the Third Proportional to 270,025,517 and 589,113,585

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Solution

The third proportional to 270,025,517 and 589,113,585 is: 1,285,266,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,025,517 : 589,113,585 = 589,113,585 : x
  2. Step 2: Convert to fraction form
    270,025,517/589,113,585 = 589,113,585/x
  3. Step 3: Cross multiply
    270,025,517x = 589,113,585 × 589,113,585
  4. Step 4: Simplify right side
    270,025,517x = 347,054,816,031,552,256
  5. Step 5: Solve for x
    x = 347,054,816,031,552,256/270,025,517
  6. Step 6: Final answer
    x = 1,285,266,740.30

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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.