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Finding the Third Proportional to 612,069,013.13 and 1,328,055,505.88

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Solution

The third proportional to 612,069,013.13 and 1,328,055,505.88 is: 2,881,589,149.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,069,013.13 : 1,328,055,505.88 = 1,328,055,505.88 : x
  2. Step 2: Convert to fraction form
    612,069,013.13/1,328,055,505.88 = 1,328,055,505.88/x
  3. Step 3: Cross multiply
    612,069,013.13x = 1,328,055,505.88 × 1,328,055,505.88
  4. Step 4: Simplify right side
    612,069,013.13x = 1,763,731,426,684,902,144
  5. Step 5: Solve for x
    x = 1,763,731,426,684,902,144/612,069,013.13
  6. Step 6: Final answer
    x = 2,881,589,149.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.