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Finding the Third Proportional to 6,388,716 and 9,649,614

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Solution

The third proportional to 6,388,716 and 9,649,614 is: 14,574,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388,716 : 9,649,614 = 9,649,614 : x
  2. Step 2: Convert to fraction form
    6,388,716/9,649,614 = 9,649,614/x
  3. Step 3: Cross multiply
    6,388,716x = 9,649,614 × 9,649,614
  4. Step 4: Simplify right side
    6,388,716x = 93,115,050,348,996
  5. Step 5: Solve for x
    x = 93,115,050,348,996/6,388,716
  6. Step 6: Final answer
    x = 14,574,924.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.