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Finding the Third Proportional to 8,575,058,411 and 18,574,689,004

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Solution

The third proportional to 8,575,058,411 and 18,574,689,004 is: 40,235,186,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575,058,411 : 18,574,689,004 = 18,574,689,004 : x
  2. Step 2: Convert to fraction form
    8,575,058,411/18,574,689,004 = 18,574,689,004/x
  3. Step 3: Cross multiply
    8,575,058,411x = 18,574,689,004 × 18,574,689,004
  4. Step 4: Simplify right side
    8,575,058,411x = 345,019,071,595,318,542,336
  5. Step 5: Solve for x
    x = 345,019,071,595,318,542,336/8,575,058,411
  6. Step 6: Final answer
    x = 40,235,186,171.18

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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.