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Finding the Third Proportional to 234,746,525,619 and 508,472,987,511

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Solution

The third proportional to 234,746,525,619 and 508,472,987,511 is: 1,101,378,511,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,746,525,619 : 508,472,987,511 = 508,472,987,511 : x
  2. Step 2: Convert to fraction form
    234,746,525,619/508,472,987,511 = 508,472,987,511/x
  3. Step 3: Cross multiply
    234,746,525,619x = 508,472,987,511 × 508,472,987,511
  4. Step 4: Simplify right side
    234,746,525,619x = 258,544,779,028,361,551,806,464
  5. Step 5: Solve for x
    x = 258,544,779,028,361,551,806,464/234,746,525,619
  6. Step 6: Final answer
    x = 1,101,378,511,765.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.