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Finding the Third Proportional to 13,159,071 and 29,343,826.13

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Solution

The third proportional to 13,159,071 and 29,343,826.13 is: 65,434,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159,071 : 29,343,826.13 = 29,343,826.13 : x
  2. Step 2: Convert to fraction form
    13,159,071/29,343,826.13 = 29,343,826.13/x
  3. Step 3: Cross multiply
    13,159,071x = 29,343,826.13 × 29,343,826.13
  4. Step 4: Simplify right side
    13,159,071x = 861,060,131,654,232.50
  5. Step 5: Solve for x
    x = 861,060,131,654,232.50/13,159,071
  6. Step 6: Final answer
    x = 65,434,720.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.