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Finding the Third Proportional to 976,373,378 and 2,139,280,358

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Solution

The third proportional to 976,373,378 and 2,139,280,358 is: 4,687,264,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,373,378 : 2,139,280,358 = 2,139,280,358 : x
  2. Step 2: Convert to fraction form
    976,373,378/2,139,280,358 = 2,139,280,358/x
  3. Step 3: Cross multiply
    976,373,378x = 2,139,280,358 × 2,139,280,358
  4. Step 4: Simplify right side
    976,373,378x = 4,576,520,450,124,608,000
  5. Step 5: Solve for x
    x = 4,576,520,450,124,608,000/976,373,378
  6. Step 6: Final answer
    x = 4,687,264,680.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.