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Finding the Third Proportional to 259,865,130 and 577,832,001

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Solution

The third proportional to 259,865,130 and 577,832,001 is: 1,284,858,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865,130 : 577,832,001 = 577,832,001 : x
  2. Step 2: Convert to fraction form
    259,865,130/577,832,001 = 577,832,001/x
  3. Step 3: Cross multiply
    259,865,130x = 577,832,001 × 577,832,001
  4. Step 4: Simplify right side
    259,865,130x = 333,889,821,379,664,000
  5. Step 5: Solve for x
    x = 333,889,821,379,664,000/259,865,130
  6. Step 6: Final answer
    x = 1,284,858,116.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.