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Finding the Third Proportional to 9,820,619 and 21,341,266

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Solution

The third proportional to 9,820,619 and 21,341,266 is: 46,376,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820,619 : 21,341,266 = 21,341,266 : x
  2. Step 2: Convert to fraction form
    9,820,619/21,341,266 = 21,341,266/x
  3. Step 3: Cross multiply
    9,820,619x = 21,341,266 × 21,341,266
  4. Step 4: Simplify right side
    9,820,619x = 455,449,634,482,756
  5. Step 5: Solve for x
    x = 455,449,634,482,756/9,820,619
  6. Step 6: Final answer
    x = 46,376,876.50

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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.