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Finding the Third Proportional to 6,289,322 and 13,475,590

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Solution

The third proportional to 6,289,322 and 13,475,590 is: 28,872,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289,322 : 13,475,590 = 13,475,590 : x
  2. Step 2: Convert to fraction form
    6,289,322/13,475,590 = 13,475,590/x
  3. Step 3: Cross multiply
    6,289,322x = 13,475,590 × 13,475,590
  4. Step 4: Simplify right side
    6,289,322x = 181,591,525,848,100
  5. Step 5: Solve for x
    x = 181,591,525,848,100/6,289,322
  6. Step 6: Final answer
    x = 28,872,989.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.