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Finding the Third Proportional to 13,006,091 and 18,299,253

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Solution

The third proportional to 13,006,091 and 18,299,253 is: 25,746,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006,091 : 18,299,253 = 18,299,253 : x
  2. Step 2: Convert to fraction form
    13,006,091/18,299,253 = 18,299,253/x
  3. Step 3: Cross multiply
    13,006,091x = 18,299,253 × 18,299,253
  4. Step 4: Simplify right side
    13,006,091x = 334,862,660,358,009
  5. Step 5: Solve for x
    x = 334,862,660,358,009/13,006,091
  6. Step 6: Final answer
    x = 25,746,602.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.