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Finding the Third Proportional to 2,985,801.75 and 6,477,210.56

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Solution

The third proportional to 2,985,801.75 and 6,477,210.56 is: 14,051,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985,801.75 : 6,477,210.56 = 6,477,210.56 : x
  2. Step 2: Convert to fraction form
    2,985,801.75/6,477,210.56 = 6,477,210.56/x
  3. Step 3: Cross multiply
    2,985,801.75x = 6,477,210.56 × 6,477,210.56
  4. Step 4: Simplify right side
    2,985,801.75x = 41,954,256,670,961.56
  5. Step 5: Solve for x
    x = 41,954,256,670,961.56/2,985,801.75
  6. Step 6: Final answer
    x = 14,051,253.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.