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Finding the Third Proportional to 1,766,343,171 and 3,853,519,044

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Solution

The third proportional to 1,766,343,171 and 3,853,519,044 is: 8,406,978,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,343,171 : 3,853,519,044 = 3,853,519,044 : x
  2. Step 2: Convert to fraction form
    1,766,343,171/3,853,519,044 = 3,853,519,044/x
  3. Step 3: Cross multiply
    1,766,343,171x = 3,853,519,044 × 3,853,519,044
  4. Step 4: Simplify right side
    1,766,343,171x = 14,849,609,022,470,674,432
  5. Step 5: Solve for x
    x = 14,849,609,022,470,674,432/1,766,343,171
  6. Step 6: Final answer
    x = 8,406,978,477.50

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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.