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Finding the Third Proportional to 777,739,463.25 and 1,137,082,280.25

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Solution

The third proportional to 777,739,463.25 and 1,137,082,280.25 is: 1,662,454,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,739,463.25 : 1,137,082,280.25 = 1,137,082,280.25 : x
  2. Step 2: Convert to fraction form
    777,739,463.25/1,137,082,280.25 = 1,137,082,280.25/x
  3. Step 3: Cross multiply
    777,739,463.25x = 1,137,082,280.25 × 1,137,082,280.25
  4. Step 4: Simplify right side
    777,739,463.25x = 1,292,956,112,058,539,520
  5. Step 5: Solve for x
    x = 1,292,956,112,058,539,520/777,739,463.25
  6. Step 6: Final answer
    x = 1,662,454,039.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.