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Finding the Third Proportional to 9,464,768 and 20,587,852

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Solution

The third proportional to 9,464,768 and 20,587,852 is: 44,782,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464,768 : 20,587,852 = 20,587,852 : x
  2. Step 2: Convert to fraction form
    9,464,768/20,587,852 = 20,587,852/x
  3. Step 3: Cross multiply
    9,464,768x = 20,587,852 × 20,587,852
  4. Step 4: Simplify right side
    9,464,768x = 423,859,649,973,904
  5. Step 5: Solve for x
    x = 423,859,649,973,904/9,464,768
  6. Step 6: Final answer
    x = 44,782,888.49

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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.