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Finding the Third Proportional to 3,026,911 and 6,585,261

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Solution

The third proportional to 3,026,911 and 6,585,261 is: 14,326,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026,911 : 6,585,261 = 6,585,261 : x
  2. Step 2: Convert to fraction form
    3,026,911/6,585,261 = 6,585,261/x
  3. Step 3: Cross multiply
    3,026,911x = 6,585,261 × 6,585,261
  4. Step 4: Simplify right side
    3,026,911x = 43,365,662,438,121
  5. Step 5: Solve for x
    x = 43,365,662,438,121/3,026,911
  6. Step 6: Final answer
    x = 14,326,705.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.