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Finding the Third Proportional to 1,766,343,173 and 3,853,519,048

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Solution

The third proportional to 1,766,343,173 and 3,853,519,048 is: 8,406,978,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,343,173 : 3,853,519,048 = 3,853,519,048 : x
  2. Step 2: Convert to fraction form
    1,766,343,173/3,853,519,048 = 3,853,519,048/x
  3. Step 3: Cross multiply
    1,766,343,173x = 3,853,519,048 × 3,853,519,048
  4. Step 4: Simplify right side
    1,766,343,173x = 14,849,609,053,298,827,264
  5. Step 5: Solve for x
    x = 14,849,609,053,298,827,264/1,766,343,173
  6. Step 6: Final answer
    x = 8,406,978,485.43

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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.