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Finding the Third Proportional to 12,706,683.75 and 19,088,993.25

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Solution

The third proportional to 12,706,683.75 and 19,088,993.25 is: 28,677,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706,683.75 : 19,088,993.25 = 19,088,993.25 : x
  2. Step 2: Convert to fraction form
    12,706,683.75/19,088,993.25 = 19,088,993.25/x
  3. Step 3: Cross multiply
    12,706,683.75x = 19,088,993.25 × 19,088,993.25
  4. Step 4: Simplify right side
    12,706,683.75x = 364,389,663,298,545.56
  5. Step 5: Solve for x
    x = 364,389,663,298,545.56/12,706,683.75
  6. Step 6: Final answer
    x = 28,677,007.35

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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.