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Finding the Third Proportional to 6,152,146 and 13,462,177

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Solution

The third proportional to 6,152,146 and 13,462,177 is: 29,458,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152,146 : 13,462,177 = 13,462,177 : x
  2. Step 2: Convert to fraction form
    6,152,146/13,462,177 = 13,462,177/x
  3. Step 3: Cross multiply
    6,152,146x = 13,462,177 × 13,462,177
  4. Step 4: Simplify right side
    6,152,146x = 181,230,209,579,329
  5. Step 5: Solve for x
    x = 181,230,209,579,329/6,152,146
  6. Step 6: Final answer
    x = 29,458,047.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.