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Finding the Third Proportional to 71,013,476 and 152,996,971

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Solution

The third proportional to 71,013,476 and 152,996,971 is: 329,628,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,013,476 : 152,996,971 = 152,996,971 : x
  2. Step 2: Convert to fraction form
    71,013,476/152,996,971 = 152,996,971/x
  3. Step 3: Cross multiply
    71,013,476x = 152,996,971 × 152,996,971
  4. Step 4: Simplify right side
    71,013,476x = 23,408,073,135,174,840
  5. Step 5: Solve for x
    x = 23,408,073,135,174,840/71,013,476
  6. Step 6: Final answer
    x = 329,628,606.48

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Why These Related Problems?

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