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Finding the Third Proportional to 7,620,256.50 and 11,609,032.88

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Solution

The third proportional to 7,620,256.50 and 11,609,032.88 is: 17,685,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620,256.50 : 11,609,032.88 = 11,609,032.88 : x
  2. Step 2: Convert to fraction form
    7,620,256.50/11,609,032.88 = 11,609,032.88/x
  3. Step 3: Cross multiply
    7,620,256.50x = 11,609,032.88 × 11,609,032.88
  4. Step 4: Simplify right side
    7,620,256.50x = 134,769,644,292,830.77
  5. Step 5: Solve for x
    x = 134,769,644,292,830.77/7,620,256.50
  6. Step 6: Final answer
    x = 17,685,709.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.