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Finding the Third Proportional to 4,956,525.84 and 7,577,250.05

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Solution

The third proportional to 4,956,525.84 and 7,577,250.05 is: 11,583,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956,525.84 : 7,577,250.05 = 7,577,250.05 : x
  2. Step 2: Convert to fraction form
    4,956,525.84/7,577,250.05 = 7,577,250.05/x
  3. Step 3: Cross multiply
    4,956,525.84x = 7,577,250.05 × 7,577,250.05
  4. Step 4: Simplify right side
    4,956,525.84x = 57,414,718,272,867.19
  5. Step 5: Solve for x
    x = 57,414,718,272,867.19/4,956,525.84
  6. Step 6: Final answer
    x = 11,583,661.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.