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Finding the Third Proportional to 14,531,583 and 31,149,564

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Solution

The third proportional to 14,531,583 and 31,149,564 is: 66,771,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531,583 : 31,149,564 = 31,149,564 : x
  2. Step 2: Convert to fraction form
    14,531,583/31,149,564 = 31,149,564/x
  3. Step 3: Cross multiply
    14,531,583x = 31,149,564 × 31,149,564
  4. Step 4: Simplify right side
    14,531,583x = 970,295,337,390,096
  5. Step 5: Solve for x
    x = 970,295,337,390,096/14,531,583
  6. Step 6: Final answer
    x = 66,771,482.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.