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Finding the Third Proportional to 755,074,968.75 and 1,779,921,641.25

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Solution

The third proportional to 755,074,968.75 and 1,779,921,641.25 is: 4,195,770,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,074,968.75 : 1,779,921,641.25 = 1,779,921,641.25 : x
  2. Step 2: Convert to fraction form
    755,074,968.75/1,779,921,641.25 = 1,779,921,641.25/x
  3. Step 3: Cross multiply
    755,074,968.75x = 1,779,921,641.25 × 1,779,921,641.25
  4. Step 4: Simplify right side
    755,074,968.75x = 3,168,121,048,990,093,824
  5. Step 5: Solve for x
    x = 3,168,121,048,990,093,824/755,074,968.75
  6. Step 6: Final answer
    x = 4,195,770,195.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.