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Finding the Third Proportional to 30,463,537 and 65,942,882

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Solution

The third proportional to 30,463,537 and 65,942,882 is: 142,743,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,463,537 : 65,942,882 = 65,942,882 : x
  2. Step 2: Convert to fraction form
    30,463,537/65,942,882 = 65,942,882/x
  3. Step 3: Cross multiply
    30,463,537x = 65,942,882 × 65,942,882
  4. Step 4: Simplify right side
    30,463,537x = 4,348,463,686,465,924
  5. Step 5: Solve for x
    x = 4,348,463,686,465,924/30,463,537
  6. Step 6: Final answer
    x = 142,743,230.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.