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Finding the Third Proportional to 6,398,352 and 9,811,383

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Solution

The third proportional to 6,398,352 and 9,811,383 is: 15,045,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398,352 : 9,811,383 = 9,811,383 : x
  2. Step 2: Convert to fraction form
    6,398,352/9,811,383 = 9,811,383/x
  3. Step 3: Cross multiply
    6,398,352x = 9,811,383 × 9,811,383
  4. Step 4: Simplify right side
    6,398,352x = 96,263,236,372,689
  5. Step 5: Solve for x
    x = 96,263,236,372,689/6,398,352
  6. Step 6: Final answer
    x = 15,045,004.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.