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Finding the Third Proportional to 12,200,675.63 and 17,833,415.63

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Solution

The third proportional to 12,200,675.63 and 17,833,415.63 is: 26,066,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200,675.63 : 17,833,415.63 = 17,833,415.63 : x
  2. Step 2: Convert to fraction form
    12,200,675.63/17,833,415.63 = 17,833,415.63/x
  3. Step 3: Cross multiply
    12,200,675.63x = 17,833,415.63 × 17,833,415.63
  4. Step 4: Simplify right side
    12,200,675.63x = 318,030,712,853,994.12
  5. Step 5: Solve for x
    x = 318,030,712,853,994.12/12,200,675.63
  6. Step 6: Final answer
    x = 26,066,647.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.