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Finding the Third Proportional to 345,813,246 and 746,841,073

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Solution

The third proportional to 345,813,246 and 746,841,073 is: 1,612,927,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,813,246 : 746,841,073 = 746,841,073 : x
  2. Step 2: Convert to fraction form
    345,813,246/746,841,073 = 746,841,073/x
  3. Step 3: Cross multiply
    345,813,246x = 746,841,073 × 746,841,073
  4. Step 4: Simplify right side
    345,813,246x = 557,771,588,319,791,360
  5. Step 5: Solve for x
    x = 557,771,588,319,791,360/345,813,246
  6. Step 6: Final answer
    x = 1,612,927,193.42

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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.