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Finding the Third Proportional to 5,830,815.50 and 12,687,145.75

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Solution

The third proportional to 5,830,815.50 and 12,687,145.75 is: 27,605,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830,815.50 : 12,687,145.75 = 12,687,145.75 : x
  2. Step 2: Convert to fraction form
    5,830,815.50/12,687,145.75 = 12,687,145.75/x
  3. Step 3: Cross multiply
    5,830,815.50x = 12,687,145.75 × 12,687,145.75
  4. Step 4: Simplify right side
    5,830,815.50x = 160,963,667,281,743.06
  5. Step 5: Solve for x
    x = 160,963,667,281,743.06/5,830,815.50
  6. Step 6: Final answer
    x = 27,605,686.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.