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Finding the Third Proportional to 407,755,348,416 and 566,951,218,944

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Solution

The third proportional to 407,755,348,416 and 566,951,218,944 is: 788,300,351,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,755,348,416 : 566,951,218,944 = 566,951,218,944 : x
  2. Step 2: Convert to fraction form
    407,755,348,416/566,951,218,944 = 566,951,218,944/x
  3. Step 3: Cross multiply
    407,755,348,416x = 566,951,218,944 × 566,951,218,944
  4. Step 4: Simplify right side
    407,755,348,416x = 321,433,684,662,087,443,283,968
  5. Step 5: Solve for x
    x = 321,433,684,662,087,443,283,968/407,755,348,416
  6. Step 6: Final answer
    x = 788,300,351,940.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.