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Finding the Third Proportional to 782,295,532 and 1,657,858,949

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Solution

The third proportional to 782,295,532 and 1,657,858,949 is: 3,513,373,376.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,295,532 : 1,657,858,949 = 1,657,858,949 : x
  2. Step 2: Convert to fraction form
    782,295,532/1,657,858,949 = 1,657,858,949/x
  3. Step 3: Cross multiply
    782,295,532x = 1,657,858,949 × 1,657,858,949
  4. Step 4: Simplify right side
    782,295,532x = 2,748,496,294,779,384,832
  5. Step 5: Solve for x
    x = 2,748,496,294,779,384,832/782,295,532
  6. Step 6: Final answer
    x = 3,513,373,376.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.