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Finding the Third Proportional to 76,723,812 and 117,000,684

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Solution

The third proportional to 76,723,812 and 117,000,684 is: 178,421,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,723,812 : 117,000,684 = 117,000,684 : x
  2. Step 2: Convert to fraction form
    76,723,812/117,000,684 = 117,000,684/x
  3. Step 3: Cross multiply
    76,723,812x = 117,000,684 × 117,000,684
  4. Step 4: Simplify right side
    76,723,812x = 13,689,160,056,467,856
  5. Step 5: Solve for x
    x = 13,689,160,056,467,856/76,723,812
  6. Step 6: Final answer
    x = 178,421,271.05

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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.