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Finding the Third Proportional to 14,531,953.50 and 31,150,335

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Solution

The third proportional to 14,531,953.50 and 31,150,335 is: 66,773,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531,953.50 : 31,150,335 = 31,150,335 : x
  2. Step 2: Convert to fraction form
    14,531,953.50/31,150,335 = 31,150,335/x
  3. Step 3: Cross multiply
    14,531,953.50x = 31,150,335 × 31,150,335
  4. Step 4: Simplify right side
    14,531,953.50x = 970,343,370,612,225
  5. Step 5: Solve for x
    x = 970,343,370,612,225/14,531,953.50
  6. Step 6: Final answer
    x = 66,773,085.30

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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.