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Finding the Third Proportional to 3,239,493,996 and 4,838,012,838

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Solution

The third proportional to 3,239,493,996 and 4,838,012,838 is: 7,225,316,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239,493,996 : 4,838,012,838 = 4,838,012,838 : x
  2. Step 2: Convert to fraction form
    3,239,493,996/4,838,012,838 = 4,838,012,838/x
  3. Step 3: Cross multiply
    3,239,493,996x = 4,838,012,838 × 4,838,012,838
  4. Step 4: Simplify right side
    3,239,493,996x = 23,406,368,220,652,814,336
  5. Step 5: Solve for x
    x = 23,406,368,220,652,814,336/3,239,493,996
  6. Step 6: Final answer
    x = 7,225,316,129.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.