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Finding the Third Proportional to 1,948,751,532 and 4,000,812,300

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Solution

The third proportional to 1,948,751,532 and 4,000,812,300 is: 8,213,719,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,751,532 : 4,000,812,300 = 4,000,812,300 : x
  2. Step 2: Convert to fraction form
    1,948,751,532/4,000,812,300 = 4,000,812,300/x
  3. Step 3: Cross multiply
    1,948,751,532x = 4,000,812,300 × 4,000,812,300
  4. Step 4: Simplify right side
    1,948,751,532x = 16,006,499,059,831,289,856
  5. Step 5: Solve for x
    x = 16,006,499,059,831,289,856/1,948,751,532
  6. Step 6: Final answer
    x = 8,213,719,808.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.