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Finding the Third Proportional to 6,584,643 and 10,133,754.75

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Solution

The third proportional to 6,584,643 and 10,133,754.75 is: 15,595,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584,643 : 10,133,754.75 = 10,133,754.75 : x
  2. Step 2: Convert to fraction form
    6,584,643/10,133,754.75 = 10,133,754.75/x
  3. Step 3: Cross multiply
    6,584,643x = 10,133,754.75 × 10,133,754.75
  4. Step 4: Simplify right side
    6,584,643x = 102,692,985,333,147.56
  5. Step 5: Solve for x
    x = 102,692,985,333,147.56/6,584,643
  6. Step 6: Final answer
    x = 15,595,831.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.