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Finding the Third Proportional to 270,109,240 and 581,168,964

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Solution

The third proportional to 270,109,240 and 581,168,964 is: 1,250,447,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,109,240 : 581,168,964 = 581,168,964 : x
  2. Step 2: Convert to fraction form
    270,109,240/581,168,964 = 581,168,964/x
  3. Step 3: Cross multiply
    270,109,240x = 581,168,964 × 581,168,964
  4. Step 4: Simplify right side
    270,109,240x = 337,757,364,716,833,280
  5. Step 5: Solve for x
    x = 337,757,364,716,833,280/270,109,240
  6. Step 6: Final answer
    x = 1,250,447,280.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.