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Finding the Third Proportional to 9,865,620 and 21,524,010

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Solution

The third proportional to 9,865,620 and 21,524,010 is: 46,959,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865,620 : 21,524,010 = 21,524,010 : x
  2. Step 2: Convert to fraction form
    9,865,620/21,524,010 = 21,524,010/x
  3. Step 3: Cross multiply
    9,865,620x = 21,524,010 × 21,524,010
  4. Step 4: Simplify right side
    9,865,620x = 463,283,006,480,100
  5. Step 5: Solve for x
    x = 463,283,006,480,100/9,865,620
  6. Step 6: Final answer
    x = 46,959,340.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.