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Finding the Third Proportional to 3,028,720 and 6,477,664

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Solution

The third proportional to 3,028,720 and 6,477,664 is: 13,854,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028,720 : 6,477,664 = 6,477,664 : x
  2. Step 2: Convert to fraction form
    3,028,720/6,477,664 = 6,477,664/x
  3. Step 3: Cross multiply
    3,028,720x = 6,477,664 × 6,477,664
  4. Step 4: Simplify right side
    3,028,720x = 41,960,130,896,896
  5. Step 5: Solve for x
    x = 41,960,130,896,896/3,028,720
  6. Step 6: Final answer
    x = 13,854,080.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.