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Finding the Third Proportional to 358,958,620 and 780,810,496

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Solution

The third proportional to 358,958,620 and 780,810,496 is: 1,698,427,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,958,620 : 780,810,496 = 780,810,496 : x
  2. Step 2: Convert to fraction form
    358,958,620/780,810,496 = 780,810,496/x
  3. Step 3: Cross multiply
    358,958,620x = 780,810,496 × 780,810,496
  4. Step 4: Simplify right side
    358,958,620x = 609,665,030,663,766,016
  5. Step 5: Solve for x
    x = 609,665,030,663,766,016/358,958,620
  6. Step 6: Final answer
    x = 1,698,427,051.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.