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Finding the Third Proportional to 1,942,875,114 and 2,984,493,822

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Solution

The third proportional to 1,942,875,114 and 2,984,493,822 is: 4,584,547,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,875,114 : 2,984,493,822 = 2,984,493,822 : x
  2. Step 2: Convert to fraction form
    1,942,875,114/2,984,493,822 = 2,984,493,822/x
  3. Step 3: Cross multiply
    1,942,875,114x = 2,984,493,822 × 2,984,493,822
  4. Step 4: Simplify right side
    1,942,875,114x = 8,907,203,373,556,167,680
  5. Step 5: Solve for x
    x = 8,907,203,373,556,167,680/1,942,875,114
  6. Step 6: Final answer
    x = 4,584,547,565.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.