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Finding the Third Proportional to 4,735,533.50 and 10,210,234

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Solution

The third proportional to 4,735,533.50 and 10,210,234 is: 22,014,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735,533.50 : 10,210,234 = 10,210,234 : x
  2. Step 2: Convert to fraction form
    4,735,533.50/10,210,234 = 10,210,234/x
  3. Step 3: Cross multiply
    4,735,533.50x = 10,210,234 × 10,210,234
  4. Step 4: Simplify right side
    4,735,533.50x = 104,248,878,334,756
  5. Step 5: Solve for x
    x = 104,248,878,334,756/4,735,533.50
  6. Step 6: Final answer
    x = 22,014,178.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.