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Finding the Third Proportional to 42,156,741 and 94,006,545

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Solution

The third proportional to 42,156,741 and 94,006,545 is: 209,627,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,156,741 : 94,006,545 = 94,006,545 : x
  2. Step 2: Convert to fraction form
    42,156,741/94,006,545 = 94,006,545/x
  3. Step 3: Cross multiply
    42,156,741x = 94,006,545 × 94,006,545
  4. Step 4: Simplify right side
    42,156,741x = 8,837,230,502,837,025
  5. Step 5: Solve for x
    x = 8,837,230,502,837,025/42,156,741
  6. Step 6: Final answer
    x = 209,627,933.59

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.