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Finding the Third Proportional to 876,814,040 and 1,927,188,400

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Solution

The third proportional to 876,814,040 and 1,927,188,400 is: 4,235,852,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,814,040 : 1,927,188,400 = 1,927,188,400 : x
  2. Step 2: Convert to fraction form
    876,814,040/1,927,188,400 = 1,927,188,400/x
  3. Step 3: Cross multiply
    876,814,040x = 1,927,188,400 × 1,927,188,400
  4. Step 4: Simplify right side
    876,814,040x = 3,714,055,129,094,559,744
  5. Step 5: Solve for x
    x = 3,714,055,129,094,559,744/876,814,040
  6. Step 6: Final answer
    x = 4,235,852,711.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.