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Finding the Third Proportional to 1,325,730,060 and 1,994,130,012

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Solution

The third proportional to 1,325,730,060 and 1,994,130,012 is: 2,999,520,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,730,060 : 1,994,130,012 = 1,994,130,012 : x
  2. Step 2: Convert to fraction form
    1,325,730,060/1,994,130,012 = 1,994,130,012/x
  3. Step 3: Cross multiply
    1,325,730,060x = 1,994,130,012 × 1,994,130,012
  4. Step 4: Simplify right side
    1,325,730,060x = 3,976,554,504,759,120,384
  5. Step 5: Solve for x
    x = 3,976,554,504,759,120,384/1,325,730,060
  6. Step 6: Final answer
    x = 2,999,520,509.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.