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Finding the Third Proportional to 6,085,461 and 13,185,690

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Solution

The third proportional to 6,085,461 and 13,185,690 is: 28,570,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085,461 : 13,185,690 = 13,185,690 : x
  2. Step 2: Convert to fraction form
    6,085,461/13,185,690 = 13,185,690/x
  3. Step 3: Cross multiply
    6,085,461x = 13,185,690 × 13,185,690
  4. Step 4: Simplify right side
    6,085,461x = 173,862,420,776,100
  5. Step 5: Solve for x
    x = 173,862,420,776,100/6,085,461
  6. Step 6: Final answer
    x = 28,570,131.46

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