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Finding the Third Proportional to 9,748,088 and 15,181,103

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Solution

The third proportional to 9,748,088 and 15,181,103 is: 23,642,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748,088 : 15,181,103 = 15,181,103 : x
  2. Step 2: Convert to fraction form
    9,748,088/15,181,103 = 15,181,103/x
  3. Step 3: Cross multiply
    9,748,088x = 15,181,103 × 15,181,103
  4. Step 4: Simplify right side
    9,748,088x = 230,465,888,296,609
  5. Step 5: Solve for x
    x = 230,465,888,296,609/9,748,088
  6. Step 6: Final answer
    x = 23,642,163.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.