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Finding the Third Proportional to 84,830,071,367 and 184,553,771,251

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Solution

The third proportional to 84,830,071,367 and 184,553,771,251 is: 401,509,676,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,830,071,367 : 184,553,771,251 = 184,553,771,251 : x
  2. Step 2: Convert to fraction form
    84,830,071,367/184,553,771,251 = 184,553,771,251/x
  3. Step 3: Cross multiply
    84,830,071,367x = 184,553,771,251 × 184,553,771,251
  4. Step 4: Simplify right side
    84,830,071,367x = 34,060,094,482,966,432,972,800
  5. Step 5: Solve for x
    x = 34,060,094,482,966,432,972,800/84,830,071,367
  6. Step 6: Final answer
    x = 401,509,676,157.32

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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.