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Finding the Third Proportional to 345,813,270 and 746,841,122

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Solution

The third proportional to 345,813,270 and 746,841,122 is: 1,612,927,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,813,270 : 746,841,122 = 746,841,122 : x
  2. Step 2: Convert to fraction form
    345,813,270/746,841,122 = 746,841,122/x
  3. Step 3: Cross multiply
    345,813,270x = 746,841,122 × 746,841,122
  4. Step 4: Simplify right side
    345,813,270x = 557,771,661,510,218,880
  5. Step 5: Solve for x
    x = 557,771,661,510,218,880/345,813,270
  6. Step 6: Final answer
    x = 1,612,927,293.13

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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.