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Finding the Third Proportional to 1,861,839,710 and 4,050,562,897

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Solution

The third proportional to 1,861,839,710 and 4,050,562,897 is: 8,812,283,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861,839,710 : 4,050,562,897 = 4,050,562,897 : x
  2. Step 2: Convert to fraction form
    1,861,839,710/4,050,562,897 = 4,050,562,897/x
  3. Step 3: Cross multiply
    1,861,839,710x = 4,050,562,897 × 4,050,562,897
  4. Step 4: Simplify right side
    1,861,839,710x = 16,407,059,782,553,032,704
  5. Step 5: Solve for x
    x = 16,407,059,782,553,032,704/1,861,839,710
  6. Step 6: Final answer
    x = 8,812,283,729.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.