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Finding the Third Proportional to 74,657,025 and 155,273,624

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Solution

The third proportional to 74,657,025 and 155,273,624 is: 322,942,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,657,025 : 155,273,624 = 155,273,624 : x
  2. Step 2: Convert to fraction form
    74,657,025/155,273,624 = 155,273,624/x
  3. Step 3: Cross multiply
    74,657,025x = 155,273,624 × 155,273,624
  4. Step 4: Simplify right side
    74,657,025x = 24,109,898,310,093,376
  5. Step 5: Solve for x
    x = 24,109,898,310,093,376/74,657,025
  6. Step 6: Final answer
    x = 322,942,125.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.