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Finding the Third Proportional to 470,852,224 and 1,013,665,032

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Solution

The third proportional to 470,852,224 and 1,013,665,032 is: 2,182,249,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,852,224 : 1,013,665,032 = 1,013,665,032 : x
  2. Step 2: Convert to fraction form
    470,852,224/1,013,665,032 = 1,013,665,032/x
  3. Step 3: Cross multiply
    470,852,224x = 1,013,665,032 × 1,013,665,032
  4. Step 4: Simplify right side
    470,852,224x = 1,027,516,797,099,560,960
  5. Step 5: Solve for x
    x = 1,027,516,797,099,560,960/470,852,224
  6. Step 6: Final answer
    x = 2,182,249,004.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.