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Finding the Third Proportional to 6,472,503.75 and 13,953,754.13

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Solution

The third proportional to 6,472,503.75 and 13,953,754.13 is: 30,082,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,503.75 : 13,953,754.13 = 13,953,754.13 : x
  2. Step 2: Convert to fraction form
    6,472,503.75/13,953,754.13 = 13,953,754.13/x
  3. Step 3: Cross multiply
    6,472,503.75x = 13,953,754.13 × 13,953,754.13
  4. Step 4: Simplify right side
    6,472,503.75x = 194,707,254,180,954.50
  5. Step 5: Solve for x
    x = 194,707,254,180,954.50/6,472,503.75
  6. Step 6: Final answer
    x = 30,082,215.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.