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Finding the Third Proportional to 8,971,804 and 19,457,984

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Solution

The third proportional to 8,971,804 and 19,457,984 is: 42,200,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971,804 : 19,457,984 = 19,457,984 : x
  2. Step 2: Convert to fraction form
    8,971,804/19,457,984 = 19,457,984/x
  3. Step 3: Cross multiply
    8,971,804x = 19,457,984 × 19,457,984
  4. Step 4: Simplify right side
    8,971,804x = 378,613,141,344,256
  5. Step 5: Solve for x
    x = 378,613,141,344,256/8,971,804
  6. Step 6: Final answer
    x = 42,200,335.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.