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Finding the Third Proportional to 1,948,751,537 and 4,000,812,310

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Solution

The third proportional to 1,948,751,537 and 4,000,812,310 is: 8,213,719,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,751,537 : 4,000,812,310 = 4,000,812,310 : x
  2. Step 2: Convert to fraction form
    1,948,751,537/4,000,812,310 = 4,000,812,310/x
  3. Step 3: Cross multiply
    1,948,751,537x = 4,000,812,310 × 4,000,812,310
  4. Step 4: Simplify right side
    1,948,751,537x = 16,006,499,139,847,536,640
  5. Step 5: Solve for x
    x = 16,006,499,139,847,536,640/1,948,751,537
  6. Step 6: Final answer
    x = 8,213,719,828.28

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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.