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Finding the Third Proportional to 357,839,580 and 782,677,032

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Solution

The third proportional to 357,839,580 and 782,677,032 is: 1,711,893,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,839,580 : 782,677,032 = 782,677,032 : x
  2. Step 2: Convert to fraction form
    357,839,580/782,677,032 = 782,677,032/x
  3. Step 3: Cross multiply
    357,839,580x = 782,677,032 × 782,677,032
  4. Step 4: Simplify right side
    357,839,580x = 612,583,336,420,328,960
  5. Step 5: Solve for x
    x = 612,583,336,420,328,960/357,839,580
  6. Step 6: Final answer
    x = 1,711,893,738.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.