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Finding the Third Proportional to 346,662,075 and 705,431,062

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Solution

The third proportional to 346,662,075 and 705,431,062 is: 1,435,498,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,662,075 : 705,431,062 = 705,431,062 : x
  2. Step 2: Convert to fraction form
    346,662,075/705,431,062 = 705,431,062/x
  3. Step 3: Cross multiply
    346,662,075x = 705,431,062 × 705,431,062
  4. Step 4: Simplify right side
    346,662,075x = 497,632,983,234,447,872
  5. Step 5: Solve for x
    x = 497,632,983,234,447,872/346,662,075
  6. Step 6: Final answer
    x = 1,435,498,772.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.