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Finding the Third Proportional to 3,121,411,356 and 4,509,900,352

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Solution

The third proportional to 3,121,411,356 and 4,509,900,352 is: 6,516,027,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121,411,356 : 4,509,900,352 = 4,509,900,352 : x
  2. Step 2: Convert to fraction form
    3,121,411,356/4,509,900,352 = 4,509,900,352/x
  3. Step 3: Cross multiply
    3,121,411,356x = 4,509,900,352 × 4,509,900,352
  4. Step 4: Simplify right side
    3,121,411,356x = 20,339,201,184,969,723,904
  5. Step 5: Solve for x
    x = 20,339,201,184,969,723,904/3,121,411,356
  6. Step 6: Final answer
    x = 6,516,027,163.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.