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Finding the Third Proportional to 213,353,949 and 465,473,337

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Solution

The third proportional to 213,353,949 and 465,473,337 is: 1,015,521,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,353,949 : 465,473,337 = 465,473,337 : x
  2. Step 2: Convert to fraction form
    213,353,949/465,473,337 = 465,473,337/x
  3. Step 3: Cross multiply
    213,353,949x = 465,473,337 × 465,473,337
  4. Step 4: Simplify right side
    213,353,949x = 216,665,427,457,915,584
  5. Step 5: Solve for x
    x = 216,665,427,457,915,584/213,353,949
  6. Step 6: Final answer
    x = 1,015,521,055.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.