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Finding the Third Proportional to 608,297,996 and 1,248,843,716

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Solution

The third proportional to 608,297,996 and 1,248,843,716 is: 2,563,892,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,297,996 : 1,248,843,716 = 1,248,843,716 : x
  2. Step 2: Convert to fraction form
    608,297,996/1,248,843,716 = 1,248,843,716/x
  3. Step 3: Cross multiply
    608,297,996x = 1,248,843,716 × 1,248,843,716
  4. Step 4: Simplify right side
    608,297,996x = 1,559,610,626,992,688,640
  5. Step 5: Solve for x
    x = 1,559,610,626,992,688,640/608,297,996
  6. Step 6: Final answer
    x = 2,563,892,429.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.