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Finding the Third Proportional to 7,735,014 and 16,392,090

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Solution

The third proportional to 7,735,014 and 16,392,090 is: 34,738,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735,014 : 16,392,090 = 16,392,090 : x
  2. Step 2: Convert to fraction form
    7,735,014/16,392,090 = 16,392,090/x
  3. Step 3: Cross multiply
    7,735,014x = 16,392,090 × 16,392,090
  4. Step 4: Simplify right side
    7,735,014x = 268,700,614,568,100
  5. Step 5: Solve for x
    x = 268,700,614,568,100/7,735,014
  6. Step 6: Final answer
    x = 34,738,219.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.