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Finding the Third Proportional to 13,675,009.50 and 29,180,547

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Solution

The third proportional to 13,675,009.50 and 29,180,547 is: 62,267,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675,009.50 : 29,180,547 = 29,180,547 : x
  2. Step 2: Convert to fraction form
    13,675,009.50/29,180,547 = 29,180,547/x
  3. Step 3: Cross multiply
    13,675,009.50x = 29,180,547 × 29,180,547
  4. Step 4: Simplify right side
    13,675,009.50x = 851,504,323,219,209
  5. Step 5: Solve for x
    x = 851,504,323,219,209/13,675,009.50
  6. Step 6: Final answer
    x = 62,267,183.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.