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Finding the Third Proportional to 13,779,108 and 32,183,982

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Solution

The third proportional to 13,779,108 and 32,183,982 is: 75,172,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,779,108 : 32,183,982 = 32,183,982 : x
  2. Step 2: Convert to fraction form
    13,779,108/32,183,982 = 32,183,982/x
  3. Step 3: Cross multiply
    13,779,108x = 32,183,982 × 32,183,982
  4. Step 4: Simplify right side
    13,779,108x = 1,035,808,697,376,324
  5. Step 5: Solve for x
    x = 1,035,808,697,376,324/13,779,108
  6. Step 6: Final answer
    x = 75,172,405.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.