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Finding the Third Proportional to 463,754,811 and 1,000,145,238

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Solution

The third proportional to 463,754,811 and 1,000,145,238 is: 2,156,938,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,754,811 : 1,000,145,238 = 1,000,145,238 : x
  2. Step 2: Convert to fraction form
    463,754,811/1,000,145,238 = 1,000,145,238/x
  3. Step 3: Cross multiply
    463,754,811x = 1,000,145,238 × 1,000,145,238
  4. Step 4: Simplify right side
    463,754,811x = 1,000,290,497,094,076,672
  5. Step 5: Solve for x
    x = 1,000,290,497,094,076,672/463,754,811
  6. Step 6: Final answer
    x = 2,156,938,264.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.