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Finding the Third Proportional to 7,716,588.75 and 16,458,030

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Solution

The third proportional to 7,716,588.75 and 16,458,030 is: 35,101,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716,588.75 : 16,458,030 = 16,458,030 : x
  2. Step 2: Convert to fraction form
    7,716,588.75/16,458,030 = 16,458,030/x
  3. Step 3: Cross multiply
    7,716,588.75x = 16,458,030 × 16,458,030
  4. Step 4: Simplify right side
    7,716,588.75x = 270,866,751,480,900
  5. Step 5: Solve for x
    x = 270,866,751,480,900/7,716,588.75
  6. Step 6: Final answer
    x = 35,101,877.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.