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Finding the Third Proportional to 14,467,815 and 31,207,254.75

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Solution

The third proportional to 14,467,815 and 31,207,254.75 is: 67,314,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467,815 : 31,207,254.75 = 31,207,254.75 : x
  2. Step 2: Convert to fraction form
    14,467,815/31,207,254.75 = 31,207,254.75/x
  3. Step 3: Cross multiply
    14,467,815x = 31,207,254.75 × 31,207,254.75
  4. Step 4: Simplify right side
    14,467,815x = 973,892,749,031,397.50
  5. Step 5: Solve for x
    x = 973,892,749,031,397.50/14,467,815
  6. Step 6: Final answer
    x = 67,314,432.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.