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Finding the Third Proportional to 728,373,724 and 1,602,030,134

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Solution

The third proportional to 728,373,724 and 1,602,030,134 is: 3,523,603,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,373,724 : 1,602,030,134 = 1,602,030,134 : x
  2. Step 2: Convert to fraction form
    728,373,724/1,602,030,134 = 1,602,030,134/x
  3. Step 3: Cross multiply
    728,373,724x = 1,602,030,134 × 1,602,030,134
  4. Step 4: Simplify right side
    728,373,724x = 2,566,500,550,244,058,112
  5. Step 5: Solve for x
    x = 2,566,500,550,244,058,112/728,373,724
  6. Step 6: Final answer
    x = 3,523,603,976.47

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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.