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Finding the Third Proportional to 4,197,490.88 and 8,899,412.63

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Solution

The third proportional to 4,197,490.88 and 8,899,412.63 is: 18,868,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,490.88 : 8,899,412.63 = 8,899,412.63 : x
  2. Step 2: Convert to fraction form
    4,197,490.88/8,899,412.63 = 8,899,412.63/x
  3. Step 3: Cross multiply
    4,197,490.88x = 8,899,412.63 × 8,899,412.63
  4. Step 4: Simplify right side
    4,197,490.88x = 79,199,545,070,009.39
  5. Step 5: Solve for x
    x = 79,199,545,070,009.39/4,197,490.88
  6. Step 6: Final answer
    x = 18,868,306.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.