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Finding the Third Proportional to 345,240,070 and 739,451,444

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Solution

The third proportional to 345,240,070 and 739,451,444 is: 1,583,791,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,240,070 : 739,451,444 = 739,451,444 : x
  2. Step 2: Convert to fraction form
    345,240,070/739,451,444 = 739,451,444/x
  3. Step 3: Cross multiply
    345,240,070x = 739,451,444 × 739,451,444
  4. Step 4: Simplify right side
    345,240,070x = 546,788,438,033,685,120
  5. Step 5: Solve for x
    x = 546,788,438,033,685,120/345,240,070
  6. Step 6: Final answer
    x = 1,583,791,933.64

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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.