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Finding the Third Proportional to 234,746,525,603.73 and 508,472,987,478.60

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Solution

The third proportional to 234,746,525,603.73 and 508,472,987,478.60 is: 1,101,378,511,696.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,746,525,603.73 : 508,472,987,478.60 = 508,472,987,478.60 : x
  2. Step 2: Convert to fraction form
    234,746,525,603.73/508,472,987,478.60 = 508,472,987,478.60/x
  3. Step 3: Cross multiply
    234,746,525,603.73x = 508,472,987,478.60 × 508,472,987,478.60
  4. Step 4: Simplify right side
    234,746,525,603.73x = 258,544,778,995,412,475,314,176
  5. Step 5: Solve for x
    x = 258,544,778,995,412,475,314,176/234,746,525,603.73
  6. Step 6: Final answer
    x = 1,101,378,511,696.72

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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.