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Finding the Third Proportional to 2,990,127 and 6,405,102

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Solution

The third proportional to 2,990,127 and 6,405,102 is: 13,720,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990,127 : 6,405,102 = 6,405,102 : x
  2. Step 2: Convert to fraction form
    2,990,127/6,405,102 = 6,405,102/x
  3. Step 3: Cross multiply
    2,990,127x = 6,405,102 × 6,405,102
  4. Step 4: Simplify right side
    2,990,127x = 41,025,331,630,404
  5. Step 5: Solve for x
    x = 41,025,331,630,404/2,990,127
  6. Step 6: Final answer
    x = 13,720,263.93

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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.