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Finding the Third Proportional to 612,069,043.50 and 1,328,055,553.13

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Solution

The third proportional to 612,069,043.50 and 1,328,055,553.13 is: 2,881,589,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,069,043.50 : 1,328,055,553.13 = 1,328,055,553.13 : x
  2. Step 2: Convert to fraction form
    612,069,043.50/1,328,055,553.13 = 1,328,055,553.13/x
  3. Step 3: Cross multiply
    612,069,043.50x = 1,328,055,553.13 × 1,328,055,553.13
  4. Step 4: Simplify right side
    612,069,043.50x = 1,763,731,552,186,149,632
  5. Step 5: Solve for x
    x = 1,763,731,552,186,149,632/612,069,043.50
  6. Step 6: Final answer
    x = 2,881,589,211.08

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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.