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Finding the Third Proportional to 578,876,609,088.75 and 875,760,059,999.60

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Solution

The third proportional to 578,876,609,088.75 and 875,760,059,999.60 is: 1,324,903,564,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,876,609,088.75 : 875,760,059,999.60 = 875,760,059,999.60 : x
  2. Step 2: Convert to fraction form
    578,876,609,088.75/875,760,059,999.60 = 875,760,059,999.60/x
  3. Step 3: Cross multiply
    578,876,609,088.75x = 875,760,059,999.60 × 875,760,059,999.60
  4. Step 4: Simplify right side
    578,876,609,088.75x = 766,955,682,690,503,005,962,240
  5. Step 5: Solve for x
    x = 766,955,682,690,503,005,962,240/578,876,609,088.75
  6. Step 6: Final answer
    x = 1,324,903,564,332.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.