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Finding the Third Proportional to 7,657,671 and 11,855,758.50

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Solution

The third proportional to 7,657,671 and 11,855,758.50 is: 18,355,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657,671 : 11,855,758.50 = 11,855,758.50 : x
  2. Step 2: Convert to fraction form
    7,657,671/11,855,758.50 = 11,855,758.50/x
  3. Step 3: Cross multiply
    7,657,671x = 11,855,758.50 × 11,855,758.50
  4. Step 4: Simplify right side
    7,657,671x = 140,559,009,610,322.25
  5. Step 5: Solve for x
    x = 140,559,009,610,322.25/7,657,671
  6. Step 6: Final answer
    x = 18,355,321.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.