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Finding the Third Proportional to 9,148,029.09 and 12,195,715.03

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Solution

The third proportional to 9,148,029.09 and 12,195,715.03 is: 16,258,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148,029.09 : 12,195,715.03 = 12,195,715.03 : x
  2. Step 2: Convert to fraction form
    9,148,029.09/12,195,715.03 = 12,195,715.03/x
  3. Step 3: Cross multiply
    9,148,029.09x = 12,195,715.03 × 12,195,715.03
  4. Step 4: Simplify right side
    9,148,029.09x = 148,735,465,123,457.19
  5. Step 5: Solve for x
    x = 148,735,465,123,457.19/9,148,029.09
  6. Step 6: Final answer
    x = 16,258,744.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.