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Finding the Third Proportional to 470,676,906 and 1,026,102,138

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Solution

The third proportional to 470,676,906 and 1,026,102,138 is: 2,236,960,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,676,906 : 1,026,102,138 = 1,026,102,138 : x
  2. Step 2: Convert to fraction form
    470,676,906/1,026,102,138 = 1,026,102,138/x
  3. Step 3: Cross multiply
    470,676,906x = 1,026,102,138 × 1,026,102,138
  4. Step 4: Simplify right side
    470,676,906x = 1,052,885,597,608,171,008
  5. Step 5: Solve for x
    x = 1,052,885,597,608,171,008/470,676,906
  6. Step 6: Final answer
    x = 2,236,960,395.10

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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.