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Finding the Third Proportional to 543,276,713 and 1,178,426,205

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Solution

The third proportional to 543,276,713 and 1,178,426,205 is: 2,556,134,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,276,713 : 1,178,426,205 = 1,178,426,205 : x
  2. Step 2: Convert to fraction form
    543,276,713/1,178,426,205 = 1,178,426,205/x
  3. Step 3: Cross multiply
    543,276,713x = 1,178,426,205 × 1,178,426,205
  4. Step 4: Simplify right side
    543,276,713x = 1,388,688,320,630,702,080
  5. Step 5: Solve for x
    x = 1,388,688,320,630,702,080/543,276,713
  6. Step 6: Final answer
    x = 2,556,134,447.51

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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.