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Finding the Third Proportional to 5,069,628 and 11,272,710

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Solution

The third proportional to 5,069,628 and 11,272,710 is: 25,065,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069,628 : 11,272,710 = 11,272,710 : x
  2. Step 2: Convert to fraction form
    5,069,628/11,272,710 = 11,272,710/x
  3. Step 3: Cross multiply
    5,069,628x = 11,272,710 × 11,272,710
  4. Step 4: Simplify right side
    5,069,628x = 127,073,990,744,100
  5. Step 5: Solve for x
    x = 127,073,990,744,100/5,069,628
  6. Step 6: Final answer
    x = 25,065,742.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.