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Finding the Third Proportional to 1,057,364,756 and 2,290,462,246

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Solution

The third proportional to 1,057,364,756 and 2,290,462,246 is: 4,961,596,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,364,756 : 2,290,462,246 = 2,290,462,246 : x
  2. Step 2: Convert to fraction form
    1,057,364,756/2,290,462,246 = 2,290,462,246/x
  3. Step 3: Cross multiply
    1,057,364,756x = 2,290,462,246 × 2,290,462,246
  4. Step 4: Simplify right side
    1,057,364,756x = 5,246,217,300,351,364,096
  5. Step 5: Solve for x
    x = 5,246,217,300,351,364,096/1,057,364,756
  6. Step 6: Final answer
    x = 4,961,596,526.25

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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.