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Finding the Third Proportional to 9,883,296 and 21,656,160

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Solution

The third proportional to 9,883,296 and 21,656,160 is: 47,452,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883,296 : 21,656,160 = 21,656,160 : x
  2. Step 2: Convert to fraction form
    9,883,296/21,656,160 = 21,656,160/x
  3. Step 3: Cross multiply
    9,883,296x = 21,656,160 × 21,656,160
  4. Step 4: Simplify right side
    9,883,296x = 468,989,265,945,600
  5. Step 5: Solve for x
    x = 468,989,265,945,600/9,883,296
  6. Step 6: Final answer
    x = 47,452,718.80

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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.