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Finding the Third Proportional to 187,946,756 and 403,656,382

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Solution

The third proportional to 187,946,756 and 403,656,382 is: 866,939,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,946,756 : 403,656,382 = 403,656,382 : x
  2. Step 2: Convert to fraction form
    187,946,756/403,656,382 = 403,656,382/x
  3. Step 3: Cross multiply
    187,946,756x = 403,656,382 × 403,656,382
  4. Step 4: Simplify right side
    187,946,756x = 162,938,474,729,329,920
  5. Step 5: Solve for x
    x = 162,938,474,729,329,920/187,946,756
  6. Step 6: Final answer
    x = 866,939,542.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.