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Finding the Third Proportional to 2,039,148,950 and 3,148,802,633

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Solution

The third proportional to 2,039,148,950 and 3,148,802,633 is: 4,862,302,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,148,950 : 3,148,802,633 = 3,148,802,633 : x
  2. Step 2: Convert to fraction form
    2,039,148,950/3,148,802,633 = 3,148,802,633/x
  3. Step 3: Cross multiply
    2,039,148,950x = 3,148,802,633 × 3,148,802,633
  4. Step 4: Simplify right side
    2,039,148,950x = 9,914,958,021,587,732,480
  5. Step 5: Solve for x
    x = 9,914,958,021,587,732,480/2,039,148,950
  6. Step 6: Final answer
    x = 4,862,302,001.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.