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Finding the Third Proportional to 12,266,478.84 and 18,991,206.84

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Solution

The third proportional to 12,266,478.84 and 18,991,206.84 is: 29,402,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266,478.84 : 18,991,206.84 = 18,991,206.84 : x
  2. Step 2: Convert to fraction form
    12,266,478.84/18,991,206.84 = 18,991,206.84/x
  3. Step 3: Cross multiply
    12,266,478.84x = 18,991,206.84 × 18,991,206.84
  4. Step 4: Simplify right side
    12,266,478.84x = 360,665,937,382,096.81
  5. Step 5: Solve for x
    x = 360,665,937,382,096.81/12,266,478.84
  6. Step 6: Final answer
    x = 29,402,564.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.