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Finding the Third Proportional to 2,051,187,895 and 4,174,866,062

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Solution

The third proportional to 2,051,187,895 and 4,174,866,062 is: 8,497,274,519.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,187,895 : 4,174,866,062 = 4,174,866,062 : x
  2. Step 2: Convert to fraction form
    2,051,187,895/4,174,866,062 = 4,174,866,062/x
  3. Step 3: Cross multiply
    2,051,187,895x = 4,174,866,062 × 4,174,866,062
  4. Step 4: Simplify right side
    2,051,187,895x = 17,429,506,635,639,388,160
  5. Step 5: Solve for x
    x = 17,429,506,635,639,388,160/2,051,187,895
  6. Step 6: Final answer
    x = 8,497,274,519.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.