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Finding the Third Proportional to 4,911,462 and 10,331,923.50

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Solution

The third proportional to 4,911,462 and 10,331,923.50 is: 21,734,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911,462 : 10,331,923.50 = 10,331,923.50 : x
  2. Step 2: Convert to fraction form
    4,911,462/10,331,923.50 = 10,331,923.50/x
  3. Step 3: Cross multiply
    4,911,462x = 10,331,923.50 × 10,331,923.50
  4. Step 4: Simplify right side
    4,911,462x = 106,748,643,209,852.25
  5. Step 5: Solve for x
    x = 106,748,643,209,852.25/4,911,462
  6. Step 6: Final answer
    x = 21,734,596.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.