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Finding the Third Proportional to 8,362,941.75 and 11,777,041.50

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Solution

The third proportional to 8,362,941.75 and 11,777,041.50 is: 16,584,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362,941.75 : 11,777,041.50 = 11,777,041.50 : x
  2. Step 2: Convert to fraction form
    8,362,941.75/11,777,041.50 = 11,777,041.50/x
  3. Step 3: Cross multiply
    8,362,941.75x = 11,777,041.50 × 11,777,041.50
  4. Step 4: Simplify right side
    8,362,941.75x = 138,698,706,492,722.25
  5. Step 5: Solve for x
    x = 138,698,706,492,722.25/8,362,941.75
  6. Step 6: Final answer
    x = 16,584,918.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.