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Finding the Third Proportional to 14,684,380.31 and 31,119,259.22

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Solution

The third proportional to 14,684,380.31 and 31,119,259.22 is: 65,948,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684,380.31 : 31,119,259.22 = 31,119,259.22 : x
  2. Step 2: Convert to fraction form
    14,684,380.31/31,119,259.22 = 31,119,259.22/x
  3. Step 3: Cross multiply
    14,684,380.31x = 31,119,259.22 × 31,119,259.22
  4. Step 4: Simplify right side
    14,684,380.31x = 968,408,294,323,756.88
  5. Step 5: Solve for x
    x = 968,408,294,323,756.88/14,684,380.31
  6. Step 6: Final answer
    x = 65,948,189.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.