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Finding the Third Proportional to 1,948,751,535 and 4,000,812,306

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Solution

The third proportional to 1,948,751,535 and 4,000,812,306 is: 8,213,719,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,751,535 : 4,000,812,306 = 4,000,812,306 : x
  2. Step 2: Convert to fraction form
    1,948,751,535/4,000,812,306 = 4,000,812,306/x
  3. Step 3: Cross multiply
    1,948,751,535x = 4,000,812,306 × 4,000,812,306
  4. Step 4: Simplify right side
    1,948,751,535x = 16,006,499,107,841,038,336
  5. Step 5: Solve for x
    x = 16,006,499,107,841,038,336/1,948,751,535
  6. Step 6: Final answer
    x = 8,213,719,820.29

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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.