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Finding the Third Proportional to 1,538,948,455 and 3,120,719,960

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Solution

The third proportional to 1,538,948,455 and 3,120,719,960 is: 6,328,277,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,948,455 : 3,120,719,960 = 3,120,719,960 : x
  2. Step 2: Convert to fraction form
    1,538,948,455/3,120,719,960 = 3,120,719,960/x
  3. Step 3: Cross multiply
    1,538,948,455x = 3,120,719,960 × 3,120,719,960
  4. Step 4: Simplify right side
    1,538,948,455x = 9,738,893,068,742,402,048
  5. Step 5: Solve for x
    x = 9,738,893,068,742,402,048/1,538,948,455
  6. Step 6: Final answer
    x = 6,328,277,621.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.