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Finding the Third Proportional to 34,114,376 and 73,897,456

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Solution

The third proportional to 34,114,376 and 73,897,456 is: 160,074,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114,376 : 73,897,456 = 73,897,456 : x
  2. Step 2: Convert to fraction form
    34,114,376/73,897,456 = 73,897,456/x
  3. Step 3: Cross multiply
    34,114,376x = 73,897,456 × 73,897,456
  4. Step 4: Simplify right side
    34,114,376x = 5,460,834,003,271,936
  5. Step 5: Solve for x
    x = 5,460,834,003,271,936/34,114,376
  6. Step 6: Final answer
    x = 160,074,274.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.