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Finding the Third Proportional to 3,376,084,275 and 7,198,103,142

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Solution

The third proportional to 3,376,084,275 and 7,198,103,142 is: 15,346,977,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376,084,275 : 7,198,103,142 = 7,198,103,142 : x
  2. Step 2: Convert to fraction form
    3,376,084,275/7,198,103,142 = 7,198,103,142/x
  3. Step 3: Cross multiply
    3,376,084,275x = 7,198,103,142 × 7,198,103,142
  4. Step 4: Simplify right side
    3,376,084,275x = 51,812,688,842,870,276,096
  5. Step 5: Solve for x
    x = 51,812,688,842,870,276,096/3,376,084,275
  6. Step 6: Final answer
    x = 15,346,977,333.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.