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Finding the Third Proportional to 48,796,435.13 and 65,054,638.69

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Solution

The third proportional to 48,796,435.13 and 65,054,638.69 is: 86,729,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,796,435.13 : 65,054,638.69 = 65,054,638.69 : x
  2. Step 2: Convert to fraction form
    48,796,435.13/65,054,638.69 = 65,054,638.69/x
  3. Step 3: Cross multiply
    48,796,435.13x = 65,054,638.69 × 65,054,638.69
  4. Step 4: Simplify right side
    48,796,435.13x = 4,232,106,014,761,171.50
  5. Step 5: Solve for x
    x = 4,232,106,014,761,171.50/48,796,435.13
  6. Step 6: Final answer
    x = 86,729,819.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.