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Finding the Third Proportional to 13,847,645 and 32,054,791

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Solution

The third proportional to 13,847,645 and 32,054,791 is: 74,201,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847,645 : 32,054,791 = 32,054,791 : x
  2. Step 2: Convert to fraction form
    13,847,645/32,054,791 = 32,054,791/x
  3. Step 3: Cross multiply
    13,847,645x = 32,054,791 × 32,054,791
  4. Step 4: Simplify right side
    13,847,645x = 1,027,509,626,053,681
  5. Step 5: Solve for x
    x = 1,027,509,626,053,681/13,847,645
  6. Step 6: Final answer
    x = 74,201,037.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.