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Finding the Third Proportional to 357,246,914 and 766,183,840

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Solution

The third proportional to 357,246,914 and 766,183,840 is: 1,643,226,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,246,914 : 766,183,840 = 766,183,840 : x
  2. Step 2: Convert to fraction form
    357,246,914/766,183,840 = 766,183,840/x
  3. Step 3: Cross multiply
    357,246,914x = 766,183,840 × 766,183,840
  4. Step 4: Simplify right side
    357,246,914x = 587,037,676,677,145,600
  5. Step 5: Solve for x
    x = 587,037,676,677,145,600/357,246,914
  6. Step 6: Final answer
    x = 1,643,226,725.47

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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.