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Finding the Third Proportional to 872,723,808 and 1,939,168,512

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Solution

The third proportional to 872,723,808 and 1,939,168,512 is: 4,308,779,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,723,808 : 1,939,168,512 = 1,939,168,512 : x
  2. Step 2: Convert to fraction form
    872,723,808/1,939,168,512 = 1,939,168,512/x
  3. Step 3: Cross multiply
    872,723,808x = 1,939,168,512 × 1,939,168,512
  4. Step 4: Simplify right side
    872,723,808x = 3,760,374,517,932,294,144
  5. Step 5: Solve for x
    x = 3,760,374,517,932,294,144/872,723,808
  6. Step 6: Final answer
    x = 4,308,779,574.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.