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Finding the Third Proportional to 27,416,685 and 42,589,258.50

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Solution

The third proportional to 27,416,685 and 42,589,258.50 is: 66,158,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416,685 : 42,589,258.50 = 42,589,258.50 : x
  2. Step 2: Convert to fraction form
    27,416,685/42,589,258.50 = 42,589,258.50/x
  3. Step 3: Cross multiply
    27,416,685x = 42,589,258.50 × 42,589,258.50
  4. Step 4: Simplify right side
    27,416,685x = 1,813,844,939,579,822.25
  5. Step 5: Solve for x
    x = 1,813,844,939,579,822.25/27,416,685
  6. Step 6: Final answer
    x = 66,158,433.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.