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Finding the Third Proportional to 1,502,728,412.63 and 2,339,958,071.25

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Solution

The third proportional to 1,502,728,412.63 and 2,339,958,071.25 is: 3,643,641,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502,728,412.63 : 2,339,958,071.25 = 2,339,958,071.25 : x
  2. Step 2: Convert to fraction form
    1,502,728,412.63/2,339,958,071.25 = 2,339,958,071.25/x
  3. Step 3: Cross multiply
    1,502,728,412.63x = 2,339,958,071.25 × 2,339,958,071.25
  4. Step 4: Simplify right side
    1,502,728,412.63x = 5,475,403,775,208,019,968
  5. Step 5: Solve for x
    x = 5,475,403,775,208,019,968/1,502,728,412.63
  6. Step 6: Final answer
    x = 3,643,641,611.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.