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Finding the Third Proportional to 345,813,273 and 746,841,126

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Solution

The third proportional to 345,813,273 and 746,841,126 is: 1,612,927,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,813,273 : 746,841,126 = 746,841,126 : x
  2. Step 2: Convert to fraction form
    345,813,273/746,841,126 = 746,841,126/x
  3. Step 3: Cross multiply
    345,813,273x = 746,841,126 × 746,841,126
  4. Step 4: Simplify right side
    345,813,273x = 557,771,667,484,947,904
  5. Step 5: Solve for x
    x = 557,771,667,484,947,904/345,813,273
  6. Step 6: Final answer
    x = 1,612,927,296.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.