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Finding the Third Proportional to 6,472,473.75 and 13,953,701.25

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Solution

The third proportional to 6,472,473.75 and 13,953,701.25 is: 30,082,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,473.75 : 13,953,701.25 = 13,953,701.25 : x
  2. Step 2: Convert to fraction form
    6,472,473.75/13,953,701.25 = 13,953,701.25/x
  3. Step 3: Cross multiply
    6,472,473.75x = 13,953,701.25 × 13,953,701.25
  4. Step 4: Simplify right side
    6,472,473.75x = 194,705,778,574,251.56
  5. Step 5: Solve for x
    x = 194,705,778,574,251.56/6,472,473.75
  6. Step 6: Final answer
    x = 30,082,127.19

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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.