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Finding the Third Proportional to 13,425,309,214 and 21,060,348,324

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Solution

The third proportional to 13,425,309,214 and 21,060,348,324 is: 33,037,471,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425,309,214 : 21,060,348,324 = 21,060,348,324 : x
  2. Step 2: Convert to fraction form
    13,425,309,214/21,060,348,324 = 21,060,348,324/x
  3. Step 3: Cross multiply
    13,425,309,214x = 21,060,348,324 × 21,060,348,324
  4. Step 4: Simplify right side
    13,425,309,214x = 443,538,271,528,209,612,800
  5. Step 5: Solve for x
    x = 443,538,271,528,209,612,800/13,425,309,214
  6. Step 6: Final answer
    x = 33,037,471,573.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.