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Finding the Third Proportional to 14,095,467 and 30,779,505

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Solution

The third proportional to 14,095,467 and 30,779,505 is: 67,211,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095,467 : 30,779,505 = 30,779,505 : x
  2. Step 2: Convert to fraction form
    14,095,467/30,779,505 = 30,779,505/x
  3. Step 3: Cross multiply
    14,095,467x = 30,779,505 × 30,779,505
  4. Step 4: Simplify right side
    14,095,467x = 947,377,928,045,025
  5. Step 5: Solve for x
    x = 947,377,928,045,025/14,095,467
  6. Step 6: Final answer
    x = 67,211,531.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.