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Finding the Third Proportional to 403,167,522,169 and 863,841,385,862

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Solution

The third proportional to 403,167,522,169 and 863,841,385,862 is: 1,850,897,949,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,167,522,169 : 863,841,385,862 = 863,841,385,862 : x
  2. Step 2: Convert to fraction form
    403,167,522,169/863,841,385,862 = 863,841,385,862/x
  3. Step 3: Cross multiply
    403,167,522,169x = 863,841,385,862 × 863,841,385,862
  4. Step 4: Simplify right side
    403,167,522,169x = 746,221,939,927,980,772,950,016
  5. Step 5: Solve for x
    x = 746,221,939,927,980,772,950,016/403,167,522,169
  6. Step 6: Final answer
    x = 1,850,897,949,104.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.