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Finding the Third Proportional to 9,716,896 and 21,264,314

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Solution

The third proportional to 9,716,896 and 21,264,314 is: 46,534,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716,896 : 21,264,314 = 21,264,314 : x
  2. Step 2: Convert to fraction form
    9,716,896/21,264,314 = 21,264,314/x
  3. Step 3: Cross multiply
    9,716,896x = 21,264,314 × 21,264,314
  4. Step 4: Simplify right side
    9,716,896x = 452,171,049,890,596
  5. Step 5: Solve for x
    x = 452,171,049,890,596/9,716,896
  6. Step 6: Final answer
    x = 46,534,515.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.