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Finding the Third Proportional to 543,276,777 and 1,178,426,319

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Solution

The third proportional to 543,276,777 and 1,178,426,319 is: 2,556,134,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,276,777 : 1,178,426,319 = 1,178,426,319 : x
  2. Step 2: Convert to fraction form
    543,276,777/1,178,426,319 = 1,178,426,319/x
  3. Step 3: Cross multiply
    543,276,777x = 1,178,426,319 × 1,178,426,319
  4. Step 4: Simplify right side
    543,276,777x = 1,388,688,589,311,889,664
  5. Step 5: Solve for x
    x = 1,388,688,589,311,889,664/543,276,777
  6. Step 6: Final answer
    x = 2,556,134,640.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.