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Finding the Third Proportional to 7,760,004 and 11,747,361

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Solution

The third proportional to 7,760,004 and 11,747,361 is: 17,783,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760,004 : 11,747,361 = 11,747,361 : x
  2. Step 2: Convert to fraction form
    7,760,004/11,747,361 = 11,747,361/x
  3. Step 3: Cross multiply
    7,760,004x = 11,747,361 × 11,747,361
  4. Step 4: Simplify right side
    7,760,004x = 138,000,490,464,321
  5. Step 5: Solve for x
    x = 138,000,490,464,321/7,760,004
  6. Step 6: Final answer
    x = 17,783,559.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.