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Finding the Third Proportional to 267,136,294 and 402,806,678

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Solution

The third proportional to 267,136,294 and 402,806,678 is: 607,379,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,136,294 : 402,806,678 = 402,806,678 : x
  2. Step 2: Convert to fraction form
    267,136,294/402,806,678 = 402,806,678/x
  3. Step 3: Cross multiply
    267,136,294x = 402,806,678 × 402,806,678
  4. Step 4: Simplify right side
    267,136,294x = 162,253,219,841,395,680
  5. Step 5: Solve for x
    x = 162,253,219,841,395,680/267,136,294
  6. Step 6: Final answer
    x = 607,379,916.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.