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Finding the Third Proportional to 654,388,075 and 1,431,913,160

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Solution

The third proportional to 654,388,075 and 1,431,913,160 is: 3,133,271,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,388,075 : 1,431,913,160 = 1,431,913,160 : x
  2. Step 2: Convert to fraction form
    654,388,075/1,431,913,160 = 1,431,913,160/x
  3. Step 3: Cross multiply
    654,388,075x = 1,431,913,160 × 1,431,913,160
  4. Step 4: Simplify right side
    654,388,075x = 2,050,375,297,781,185,536
  5. Step 5: Solve for x
    x = 2,050,375,297,781,185,536/654,388,075
  6. Step 6: Final answer
    x = 3,133,271,182.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.