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Finding the Third Proportional to 8,575,058,409 and 18,574,689,000

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Solution

The third proportional to 8,575,058,409 and 18,574,689,000 is: 40,235,186,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575,058,409 : 18,574,689,000 = 18,574,689,000 : x
  2. Step 2: Convert to fraction form
    8,575,058,409/18,574,689,000 = 18,574,689,000/x
  3. Step 3: Cross multiply
    8,575,058,409x = 18,574,689,000 × 18,574,689,000
  4. Step 4: Simplify right side
    8,575,058,409x = 345,019,071,446,720,970,752
  5. Step 5: Solve for x
    x = 345,019,071,446,720,970,752/8,575,058,409
  6. Step 6: Final answer
    x = 40,235,186,163.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.