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Finding the Third Proportional to 5,201,378.30 and 8,283,663.07

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Solution

The third proportional to 5,201,378.30 and 8,283,663.07 is: 13,192,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201,378.30 : 8,283,663.07 = 8,283,663.07 : x
  2. Step 2: Convert to fraction form
    5,201,378.30/8,283,663.07 = 8,283,663.07/x
  3. Step 3: Cross multiply
    5,201,378.30x = 8,283,663.07 × 8,283,663.07
  4. Step 4: Simplify right side
    5,201,378.30x = 68,619,073,862,459.12
  5. Step 5: Solve for x
    x = 68,619,073,862,459.12/5,201,378.30
  6. Step 6: Final answer
    x = 13,192,478.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.