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Finding the Third Proportional to 26,477,744.06 and 61,830,027.84

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Solution

The third proportional to 26,477,744.06 and 61,830,027.84 is: 144,383,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,477,744.06 : 61,830,027.84 = 61,830,027.84 : x
  2. Step 2: Convert to fraction form
    26,477,744.06/61,830,027.84 = 61,830,027.84/x
  3. Step 3: Cross multiply
    26,477,744.06x = 61,830,027.84 × 61,830,027.84
  4. Step 4: Simplify right side
    26,477,744.06x = 3,822,952,343,158,900.50
  5. Step 5: Solve for x
    x = 3,822,952,343,158,900.50/26,477,744.06
  6. Step 6: Final answer
    x = 144,383,612.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.