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Finding the Third Proportional to 470,676,899 and 1,026,102,125

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Solution

The third proportional to 470,676,899 and 1,026,102,125 is: 2,236,960,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,676,899 : 1,026,102,125 = 1,026,102,125 : x
  2. Step 2: Convert to fraction form
    470,676,899/1,026,102,125 = 1,026,102,125/x
  3. Step 3: Cross multiply
    470,676,899x = 1,026,102,125 × 1,026,102,125
  4. Step 4: Simplify right side
    470,676,899x = 1,052,885,570,929,515,648
  5. Step 5: Solve for x
    x = 1,052,885,570,929,515,648/470,676,899
  6. Step 6: Final answer
    x = 2,236,960,371.68

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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.