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Finding the Third Proportional to 130,431,069 and 281,291,022

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Solution

The third proportional to 130,431,069 and 281,291,022 is: 606,639,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,431,069 : 281,291,022 = 281,291,022 : x
  2. Step 2: Convert to fraction form
    130,431,069/281,291,022 = 281,291,022/x
  3. Step 3: Cross multiply
    130,431,069x = 281,291,022 × 281,291,022
  4. Step 4: Simplify right side
    130,431,069x = 79,124,639,057,804,480
  5. Step 5: Solve for x
    x = 79,124,639,057,804,480/130,431,069
  6. Step 6: Final answer
    x = 606,639,504.41

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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.