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Finding the Third Proportional to 5,830,809.75 and 12,687,135.75

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Solution

The third proportional to 5,830,809.75 and 12,687,135.75 is: 27,605,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830,809.75 : 12,687,135.75 = 12,687,135.75 : x
  2. Step 2: Convert to fraction form
    5,830,809.75/12,687,135.75 = 12,687,135.75/x
  3. Step 3: Cross multiply
    5,830,809.75x = 12,687,135.75 × 12,687,135.75
  4. Step 4: Simplify right side
    5,830,809.75x = 160,963,413,538,928.06
  5. Step 5: Solve for x
    x = 160,963,413,538,928.06/5,830,809.75
  6. Step 6: Final answer
    x = 27,605,670.64

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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.