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Finding the Third Proportional to 13,450,166 and 21,412,316

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Solution

The third proportional to 13,450,166 and 21,412,316 is: 34,087,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450,166 : 21,412,316 = 21,412,316 : x
  2. Step 2: Convert to fraction form
    13,450,166/21,412,316 = 21,412,316/x
  3. Step 3: Cross multiply
    13,450,166x = 21,412,316 × 21,412,316
  4. Step 4: Simplify right side
    13,450,166x = 458,487,276,483,856
  5. Step 5: Solve for x
    x = 458,487,276,483,856/13,450,166
  6. Step 6: Final answer
    x = 34,087,852.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.