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Finding the Third Proportional to 470,676,911.25 and 1,026,102,174

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Solution

The third proportional to 470,676,911.25 and 1,026,102,174 is: 2,236,960,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,676,911.25 : 1,026,102,174 = 1,026,102,174 : x
  2. Step 2: Convert to fraction form
    470,676,911.25/1,026,102,174 = 1,026,102,174/x
  3. Step 3: Cross multiply
    470,676,911.25x = 1,026,102,174 × 1,026,102,174
  4. Step 4: Simplify right side
    470,676,911.25x = 1,052,885,671,487,526,272
  5. Step 5: Solve for x
    x = 1,052,885,671,487,526,272/470,676,911.25
  6. Step 6: Final answer
    x = 2,236,960,527.11

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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.