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Finding the Third Proportional to 10,235,944.69 and 21,911,203.69

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Solution

The third proportional to 10,235,944.69 and 21,911,203.69 is: 46,903,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235,944.69 : 21,911,203.69 = 21,911,203.69 : x
  2. Step 2: Convert to fraction form
    10,235,944.69/21,911,203.69 = 21,911,203.69/x
  3. Step 3: Cross multiply
    10,235,944.69x = 21,911,203.69 × 21,911,203.69
  4. Step 4: Simplify right side
    10,235,944.69x = 480,100,847,035,113.62
  5. Step 5: Solve for x
    x = 480,100,847,035,113.62/10,235,944.69
  6. Step 6: Final answer
    x = 46,903,423.35

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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.