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Finding the Third Proportional to 290,286,766,633 and 403,620,545,567

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Solution

The third proportional to 290,286,766,633 and 403,620,545,567 is: 561,202,106,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,286,766,633 : 403,620,545,567 = 403,620,545,567 : x
  2. Step 2: Convert to fraction form
    290,286,766,633/403,620,545,567 = 403,620,545,567/x
  3. Step 3: Cross multiply
    290,286,766,633x = 403,620,545,567 × 403,620,545,567
  4. Step 4: Simplify right side
    290,286,766,633x = 162,909,544,803,802,707,656,704
  5. Step 5: Solve for x
    x = 162,909,544,803,802,707,656,704/290,286,766,633
  6. Step 6: Final answer
    x = 561,202,106,087.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.