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Finding the Third Proportional to 6,289,764 and 13,477,008

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Solution

The third proportional to 6,289,764 and 13,477,008 is: 28,877,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289,764 : 13,477,008 = 13,477,008 : x
  2. Step 2: Convert to fraction form
    6,289,764/13,477,008 = 13,477,008/x
  3. Step 3: Cross multiply
    6,289,764x = 13,477,008 × 13,477,008
  4. Step 4: Simplify right side
    6,289,764x = 181,629,744,632,064
  5. Step 5: Solve for x
    x = 181,629,744,632,064/6,289,764
  6. Step 6: Final answer
    x = 28,877,036.50

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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.