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Finding the Third Proportional to 1,921,208,072 and 4,530,742,420

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Solution

The third proportional to 1,921,208,072 and 4,530,742,420 is: 10,684,749,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,208,072 : 4,530,742,420 = 4,530,742,420 : x
  2. Step 2: Convert to fraction form
    1,921,208,072/4,530,742,420 = 4,530,742,420/x
  3. Step 3: Cross multiply
    1,921,208,072x = 4,530,742,420 × 4,530,742,420
  4. Step 4: Simplify right side
    1,921,208,072x = 20,527,626,876,387,454,976
  5. Step 5: Solve for x
    x = 20,527,626,876,387,454,976/1,921,208,072
  6. Step 6: Final answer
    x = 10,684,749,442.58

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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.