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Finding the Third Proportional to 345,813,243.75 and 746,841,069

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Solution

The third proportional to 345,813,243.75 and 746,841,069 is: 1,612,927,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,813,243.75 : 746,841,069 = 746,841,069 : x
  2. Step 2: Convert to fraction form
    345,813,243.75/746,841,069 = 746,841,069/x
  3. Step 3: Cross multiply
    345,813,243.75x = 746,841,069 × 746,841,069
  4. Step 4: Simplify right side
    345,813,243.75x = 557,771,582,345,062,784
  5. Step 5: Solve for x
    x = 557,771,582,345,062,784/345,813,243.75
  6. Step 6: Final answer
    x = 1,612,927,186.64

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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.