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Finding the Third Proportional to 392,272,999,383 and 560,951,057,146

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Solution

The third proportional to 392,272,999,383 and 560,951,057,146 is: 802,160,967,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,272,999,383 : 560,951,057,146 = 560,951,057,146 : x
  2. Step 2: Convert to fraction form
    392,272,999,383/560,951,057,146 = 560,951,057,146/x
  3. Step 3: Cross multiply
    392,272,999,383x = 560,951,057,146 × 560,951,057,146
  4. Step 4: Simplify right side
    392,272,999,383x = 314,666,088,513,214,926,028,800
  5. Step 5: Solve for x
    x = 314,666,088,513,214,926,028,800/392,272,999,383
  6. Step 6: Final answer
    x = 802,160,967,000.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.