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Finding the Third Proportional to 579,237,443,776 and 1,247,000,400,128

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Solution

The third proportional to 579,237,443,776 and 1,247,000,400,128 is: 2,684,581,279,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,237,443,776 : 1,247,000,400,128 = 1,247,000,400,128 : x
  2. Step 2: Convert to fraction form
    579,237,443,776/1,247,000,400,128 = 1,247,000,400,128/x
  3. Step 3: Cross multiply
    579,237,443,776x = 1,247,000,400,128 × 1,247,000,400,128
  4. Step 4: Simplify right side
    579,237,443,776x = 1,555,009,997,919,392,217,694,208
  5. Step 5: Solve for x
    x = 1,555,009,997,919,392,217,694,208/579,237,443,776
  6. Step 6: Final answer
    x = 2,684,581,279,453.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.