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Finding the Third Proportional to 13,685,013 and 19,132,486

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Solution

The third proportional to 13,685,013 and 19,132,486 is: 26,748,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685,013 : 19,132,486 = 19,132,486 : x
  2. Step 2: Convert to fraction form
    13,685,013/19,132,486 = 19,132,486/x
  3. Step 3: Cross multiply
    13,685,013x = 19,132,486 × 19,132,486
  4. Step 4: Simplify right side
    13,685,013x = 366,052,020,540,196
  5. Step 5: Solve for x
    x = 366,052,020,540,196/13,685,013
  6. Step 6: Final answer
    x = 26,748,386.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.