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Finding the Third Proportional to 234,746,525,630 and 508,472,987,534

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Solution

The third proportional to 234,746,525,630 and 508,472,987,534 is: 1,101,378,511,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,746,525,630 : 508,472,987,534 = 508,472,987,534 : x
  2. Step 2: Convert to fraction form
    234,746,525,630/508,472,987,534 = 508,472,987,534/x
  3. Step 3: Cross multiply
    234,746,525,630x = 508,472,987,534 × 508,472,987,534
  4. Step 4: Simplify right side
    234,746,525,630x = 258,544,779,051,751,306,166,272
  5. Step 5: Solve for x
    x = 258,544,779,051,751,306,166,272/234,746,525,630
  6. Step 6: Final answer
    x = 1,101,378,511,813.47

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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.