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Finding the Third Proportional to 10,984,729 and 23,922,288

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Solution

The third proportional to 10,984,729 and 23,922,288 is: 52,097,403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984,729 : 23,922,288 = 23,922,288 : x
  2. Step 2: Convert to fraction form
    10,984,729/23,922,288 = 23,922,288/x
  3. Step 3: Cross multiply
    10,984,729x = 23,922,288 × 23,922,288
  4. Step 4: Simplify right side
    10,984,729x = 572,275,863,154,944
  5. Step 5: Solve for x
    x = 572,275,863,154,944/10,984,729
  6. Step 6: Final answer
    x = 52,097,403.87

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Why These Related Problems?

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