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Finding the Third Proportional to 52,902,618,164 and 114,220,893,248

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Solution

The third proportional to 52,902,618,164 and 114,220,893,248 is: 246,611,848,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,902,618,164 : 114,220,893,248 = 114,220,893,248 : x
  2. Step 2: Convert to fraction form
    52,902,618,164/114,220,893,248 = 114,220,893,248/x
  3. Step 3: Cross multiply
    52,902,618,164x = 114,220,893,248 × 114,220,893,248
  4. Step 4: Simplify right side
    52,902,618,164x = 13,046,412,454,371,012,902,912
  5. Step 5: Solve for x
    x = 13,046,412,454,371,012,902,912/52,902,618,164
  6. Step 6: Final answer
    x = 246,611,848,470.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.