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Finding the Third Proportional to 4,135,964 and 9,088,312

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Solution

The third proportional to 4,135,964 and 9,088,312 is: 19,970,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135,964 : 9,088,312 = 9,088,312 : x
  2. Step 2: Convert to fraction form
    4,135,964/9,088,312 = 9,088,312/x
  3. Step 3: Cross multiply
    4,135,964x = 9,088,312 × 9,088,312
  4. Step 4: Simplify right side
    4,135,964x = 82,597,415,009,344
  5. Step 5: Solve for x
    x = 82,597,415,009,344/4,135,964
  6. Step 6: Final answer
    x = 19,970,535.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.