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Finding the Third Proportional to 470,676,910 and 1,026,102,146

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Solution

The third proportional to 470,676,910 and 1,026,102,146 is: 2,236,960,410.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,676,910 : 1,026,102,146 = 1,026,102,146 : x
  2. Step 2: Convert to fraction form
    470,676,910/1,026,102,146 = 1,026,102,146/x
  3. Step 3: Cross multiply
    470,676,910x = 1,026,102,146 × 1,026,102,146
  4. Step 4: Simplify right side
    470,676,910x = 1,052,885,614,025,805,312
  5. Step 5: Solve for x
    x = 1,052,885,614,025,805,312/470,676,910
  6. Step 6: Final answer
    x = 2,236,960,410.97

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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.