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Finding the Third Proportional to 547,536,635,710.50 and 804,903,143,874.60

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Solution

The third proportional to 547,536,635,710.50 and 804,903,143,874.60 is: 1,183,243,327,962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,536,635,710.50 : 804,903,143,874.60 = 804,903,143,874.60 : x
  2. Step 2: Convert to fraction form
    547,536,635,710.50/804,903,143,874.60 = 804,903,143,874.60/x
  3. Step 3: Cross multiply
    547,536,635,710.50x = 804,903,143,874.60 × 804,903,143,874.60
  4. Step 4: Simplify right side
    547,536,635,710.50x = 647,869,071,019,215,014,592,512
  5. Step 5: Solve for x
    x = 647,869,071,019,215,014,592,512/547,536,635,710.50
  6. Step 6: Final answer
    x = 1,183,243,327,962.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.