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Finding the Third Proportional to 69,581,765 and 102,242,679

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Solution

The third proportional to 69,581,765 and 102,242,679 is: 150,234,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,581,765 : 102,242,679 = 102,242,679 : x
  2. Step 2: Convert to fraction form
    69,581,765/102,242,679 = 102,242,679/x
  3. Step 3: Cross multiply
    69,581,765x = 102,242,679 × 102,242,679
  4. Step 4: Simplify right side
    69,581,765x = 10,453,565,409,097,040
  5. Step 5: Solve for x
    x = 10,453,565,409,097,040/69,581,765
  6. Step 6: Final answer
    x = 150,234,266.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.