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Finding the Third Proportional to 9,969,264 and 21,688,200

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Solution

The third proportional to 9,969,264 and 21,688,200 is: 47,182,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969,264 : 21,688,200 = 21,688,200 : x
  2. Step 2: Convert to fraction form
    9,969,264/21,688,200 = 21,688,200/x
  3. Step 3: Cross multiply
    9,969,264x = 21,688,200 × 21,688,200
  4. Step 4: Simplify right side
    9,969,264x = 470,378,019,240,000
  5. Step 5: Solve for x
    x = 470,378,019,240,000/9,969,264
  6. Step 6: Final answer
    x = 47,182,823.05

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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.