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Finding the Third Proportional to 8,148,762 and 17,268,916.50

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Solution

The third proportional to 8,148,762 and 17,268,916.50 is: 36,596,415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148,762 : 17,268,916.50 = 17,268,916.50 : x
  2. Step 2: Convert to fraction form
    8,148,762/17,268,916.50 = 17,268,916.50/x
  3. Step 3: Cross multiply
    8,148,762x = 17,268,916.50 × 17,268,916.50
  4. Step 4: Simplify right side
    8,148,762x = 298,215,477,083,972.25
  5. Step 5: Solve for x
    x = 298,215,477,083,972.25/8,148,762
  6. Step 6: Final answer
    x = 36,596,415.15

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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.