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Finding the Third Proportional to 2,039,148,699 and 3,148,802,307

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Solution

The third proportional to 2,039,148,699 and 3,148,802,307 is: 4,862,301,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,148,699 : 3,148,802,307 = 3,148,802,307 : x
  2. Step 2: Convert to fraction form
    2,039,148,699/3,148,802,307 = 3,148,802,307/x
  3. Step 3: Cross multiply
    2,039,148,699x = 3,148,802,307 × 3,148,802,307
  4. Step 4: Simplify right side
    2,039,148,699x = 9,914,955,968,568,522,752
  5. Step 5: Solve for x
    x = 9,914,955,968,568,522,752/2,039,148,699
  6. Step 6: Final answer
    x = 4,862,301,593.52

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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.