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Finding the Third Proportional to 2,953,424 and 6,953,852

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Solution

The third proportional to 2,953,424 and 6,953,852 is: 16,372,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953,424 : 6,953,852 = 6,953,852 : x
  2. Step 2: Convert to fraction form
    2,953,424/6,953,852 = 6,953,852/x
  3. Step 3: Cross multiply
    2,953,424x = 6,953,852 × 6,953,852
  4. Step 4: Simplify right side
    2,953,424x = 48,356,057,637,904
  5. Step 5: Solve for x
    x = 48,356,057,637,904/2,953,424
  6. Step 6: Final answer
    x = 16,372,880.30

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.