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Finding the Third Proportional to 6,033,688 and 13,195,361

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Solution

The third proportional to 6,033,688 and 13,195,361 is: 28,857,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033,688 : 13,195,361 = 13,195,361 : x
  2. Step 2: Convert to fraction form
    6,033,688/13,195,361 = 13,195,361/x
  3. Step 3: Cross multiply
    6,033,688x = 13,195,361 × 13,195,361
  4. Step 4: Simplify right side
    6,033,688x = 174,117,551,920,321
  5. Step 5: Solve for x
    x = 174,117,551,920,321/6,033,688
  6. Step 6: Final answer
    x = 28,857,566.37

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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.