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Finding the Third Proportional to 13,106,731 and 19,660,099

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Solution

The third proportional to 13,106,731 and 19,660,099 is: 29,490,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106,731 : 19,660,099 = 19,660,099 : x
  2. Step 2: Convert to fraction form
    13,106,731/19,660,099 = 19,660,099/x
  3. Step 3: Cross multiply
    13,106,731x = 19,660,099 × 19,660,099
  4. Step 4: Simplify right side
    13,106,731x = 386,519,492,689,801
  5. Step 5: Solve for x
    x = 386,519,492,689,801/13,106,731
  6. Step 6: Final answer
    x = 29,490,152.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.