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Finding the Third Proportional to 345,240,078 and 739,451,460

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Solution

The third proportional to 345,240,078 and 739,451,460 is: 1,583,791,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,240,078 : 739,451,460 = 739,451,460 : x
  2. Step 2: Convert to fraction form
    345,240,078/739,451,460 = 739,451,460/x
  3. Step 3: Cross multiply
    345,240,078x = 739,451,460 × 739,451,460
  4. Step 4: Simplify right side
    345,240,078x = 546,788,461,696,131,584
  5. Step 5: Solve for x
    x = 546,788,461,696,131,584/345,240,078
  6. Step 6: Final answer
    x = 1,583,791,965.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.