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Finding the Third Proportional to 42,468,411 and 92,884,866

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Solution

The third proportional to 42,468,411 and 92,884,866 is: 203,153,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,468,411 : 92,884,866 = 92,884,866 : x
  2. Step 2: Convert to fraction form
    42,468,411/92,884,866 = 92,884,866/x
  3. Step 3: Cross multiply
    42,468,411x = 92,884,866 × 92,884,866
  4. Step 4: Simplify right side
    42,468,411x = 8,627,598,331,837,956
  5. Step 5: Solve for x
    x = 8,627,598,331,837,956/42,468,411
  6. Step 6: Final answer
    x = 203,153,311.57

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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.