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Finding the Third Proportional to 35,283,632 and 75,672,454

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Solution

The third proportional to 35,283,632 and 75,672,454 is: 162,293,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,283,632 : 75,672,454 = 75,672,454 : x
  2. Step 2: Convert to fraction form
    35,283,632/75,672,454 = 75,672,454/x
  3. Step 3: Cross multiply
    35,283,632x = 75,672,454 × 75,672,454
  4. Step 4: Simplify right side
    35,283,632x = 5,726,320,294,382,116
  5. Step 5: Solve for x
    x = 5,726,320,294,382,116/35,283,632
  6. Step 6: Final answer
    x = 162,293,958.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.