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Finding the Third Proportional to 357,246,912 and 766,183,836

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Solution

The third proportional to 357,246,912 and 766,183,836 is: 1,643,226,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,246,912 : 766,183,836 = 766,183,836 : x
  2. Step 2: Convert to fraction form
    357,246,912/766,183,836 = 766,183,836/x
  3. Step 3: Cross multiply
    357,246,912x = 766,183,836 × 766,183,836
  4. Step 4: Simplify right side
    357,246,912x = 587,037,670,547,674,880
  5. Step 5: Solve for x
    x = 587,037,670,547,674,880/357,246,912
  6. Step 6: Final answer
    x = 1,643,226,717.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.