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Finding the Third Proportional to 470,991,282,421.50 and 1,027,227,030,183

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Solution

The third proportional to 470,991,282,421.50 and 1,027,227,030,183 is: 2,240,371,342,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,991,282,421.50 : 1,027,227,030,183 = 1,027,227,030,183 : x
  2. Step 2: Convert to fraction form
    470,991,282,421.50/1,027,227,030,183 = 1,027,227,030,183/x
  3. Step 3: Cross multiply
    470,991,282,421.50x = 1,027,227,030,183 × 1,027,227,030,183
  4. Step 4: Simplify right side
    470,991,282,421.50x = 1,055,195,371,538,586,043,154,432
  5. Step 5: Solve for x
    x = 1,055,195,371,538,586,043,154,432/470,991,282,421.50
  6. Step 6: Final answer
    x = 2,240,371,342,147.84

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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.