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Finding the Third Proportional to 4,077,546.75 and 6,477,904.13

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Solution

The third proportional to 4,077,546.75 and 6,477,904.13 is: 10,291,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077,546.75 : 6,477,904.13 = 6,477,904.13 : x
  2. Step 2: Convert to fraction form
    4,077,546.75/6,477,904.13 = 6,477,904.13/x
  3. Step 3: Cross multiply
    4,077,546.75x = 6,477,904.13 × 6,477,904.13
  4. Step 4: Simplify right side
    4,077,546.75x = 41,963,241,852,692.02
  5. Step 5: Solve for x
    x = 41,963,241,852,692.02/4,077,546.75
  6. Step 6: Final answer
    x = 10,291,296.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.