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Finding the Third Proportional to 1,351,195,050 and 2,909,717,700

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Solution

The third proportional to 1,351,195,050 and 2,909,717,700 is: 6,265,902,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351,195,050 : 2,909,717,700 = 2,909,717,700 : x
  2. Step 2: Convert to fraction form
    1,351,195,050/2,909,717,700 = 2,909,717,700/x
  3. Step 3: Cross multiply
    1,351,195,050x = 2,909,717,700 × 2,909,717,700
  4. Step 4: Simplify right side
    1,351,195,050x = 8,466,457,093,693,290,496
  5. Step 5: Solve for x
    x = 8,466,457,093,693,290,496/1,351,195,050
  6. Step 6: Final answer
    x = 6,265,902,982.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.