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Finding the Third Proportional to 863,654,888 and 1,880,652,496

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Solution

The third proportional to 863,654,888 and 1,880,652,496 is: 4,095,216,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,654,888 : 1,880,652,496 = 1,880,652,496 : x
  2. Step 2: Convert to fraction form
    863,654,888/1,880,652,496 = 1,880,652,496/x
  3. Step 3: Cross multiply
    863,654,888x = 1,880,652,496 × 1,880,652,496
  4. Step 4: Simplify right side
    863,654,888x = 3,536,853,810,711,029,760
  5. Step 5: Solve for x
    x = 3,536,853,810,711,029,760/863,654,888
  6. Step 6: Final answer
    x = 4,095,216,573.02

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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.