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Finding the Third Proportional to 628,743,118,597.17 and 1,367,648,537,837.40

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Solution

The third proportional to 628,743,118,597.17 and 1,367,648,537,837.40 is: 2,974,923,251,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,743,118,597.17 : 1,367,648,537,837.40 = 1,367,648,537,837.40 : x
  2. Step 2: Convert to fraction form
    628,743,118,597.17/1,367,648,537,837.40 = 1,367,648,537,837.40/x
  3. Step 3: Cross multiply
    628,743,118,597.17x = 1,367,648,537,837.40 × 1,367,648,537,837.40
  4. Step 4: Simplify right side
    628,743,118,597.17x = 1,870,462,523,048,777,998,139,392
  5. Step 5: Solve for x
    x = 1,870,462,523,048,777,998,139,392/628,743,118,597.17
  6. Step 6: Final answer
    x = 2,974,923,251,998.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.