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Finding the Third Proportional to 3,265,705,145 and 5,042,952,210

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Solution

The third proportional to 3,265,705,145 and 5,042,952,210 is: 7,787,404,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265,705,145 : 5,042,952,210 = 5,042,952,210 : x
  2. Step 2: Convert to fraction form
    3,265,705,145/5,042,952,210 = 5,042,952,210/x
  3. Step 3: Cross multiply
    3,265,705,145x = 5,042,952,210 × 5,042,952,210
  4. Step 4: Simplify right side
    3,265,705,145x = 25,431,366,992,343,883,776
  5. Step 5: Solve for x
    x = 25,431,366,992,343,883,776/3,265,705,145
  6. Step 6: Final answer
    x = 7,787,404,515.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.