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Finding the Third Proportional to 5,990,024 and 9,780,159

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Solution

The third proportional to 5,990,024 and 9,780,159 is: 15,968,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990,024 : 9,780,159 = 9,780,159 : x
  2. Step 2: Convert to fraction form
    5,990,024/9,780,159 = 9,780,159/x
  3. Step 3: Cross multiply
    5,990,024x = 9,780,159 × 9,780,159
  4. Step 4: Simplify right side
    5,990,024x = 95,651,510,065,281
  5. Step 5: Solve for x
    x = 95,651,510,065,281/5,990,024
  6. Step 6: Final answer
    x = 15,968,468.58

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.