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Finding the Third Proportional to 5,430,536 and 10,723,984

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Solution

The third proportional to 5,430,536 and 10,723,984 is: 21,177,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430,536 : 10,723,984 = 10,723,984 : x
  2. Step 2: Convert to fraction form
    5,430,536/10,723,984 = 10,723,984/x
  3. Step 3: Cross multiply
    5,430,536x = 10,723,984 × 10,723,984
  4. Step 4: Simplify right side
    5,430,536x = 115,003,832,832,256
  5. Step 5: Solve for x
    x = 115,003,832,832,256/5,430,536
  6. Step 6: Final answer
    x = 21,177,252.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.