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Finding the Third Proportional to 7,389,506 and 11,767,255

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Solution

The third proportional to 7,389,506 and 11,767,255 is: 18,738,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389,506 : 11,767,255 = 11,767,255 : x
  2. Step 2: Convert to fraction form
    7,389,506/11,767,255 = 11,767,255/x
  3. Step 3: Cross multiply
    7,389,506x = 11,767,255 × 11,767,255
  4. Step 4: Simplify right side
    7,389,506x = 138,468,290,235,025
  5. Step 5: Solve for x
    x = 138,468,290,235,025/7,389,506
  6. Step 6: Final answer
    x = 18,738,504.34

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Why These Related Problems?

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