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Finding the Third Proportional to 344,914,908,942 and 754,851,491,176

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Solution

The third proportional to 344,914,908,942 and 754,851,491,176 is: 1,652,003,897,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,914,908,942 : 754,851,491,176 = 754,851,491,176 : x
  2. Step 2: Convert to fraction form
    344,914,908,942/754,851,491,176 = 754,851,491,176/x
  3. Step 3: Cross multiply
    344,914,908,942x = 754,851,491,176 × 754,851,491,176
  4. Step 4: Simplify right side
    344,914,908,942x = 569,800,773,730,630,820,167,680
  5. Step 5: Solve for x
    x = 569,800,773,730,630,820,167,680/344,914,908,942
  6. Step 6: Final answer
    x = 1,652,003,897,072.62

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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.