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Finding the Third Proportional to 16,321,730 and 25,184,835

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Solution

The third proportional to 16,321,730 and 25,184,835 is: 38,860,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321,730 : 25,184,835 = 25,184,835 : x
  2. Step 2: Convert to fraction form
    16,321,730/25,184,835 = 25,184,835/x
  3. Step 3: Cross multiply
    16,321,730x = 25,184,835 × 25,184,835
  4. Step 4: Simplify right side
    16,321,730x = 634,275,913,977,225
  5. Step 5: Solve for x
    x = 634,275,913,977,225/16,321,730
  6. Step 6: Final answer
    x = 38,860,826.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.