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Finding the Third Proportional to 616,625,077.50 and 1,455,172,519.50

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Solution

The third proportional to 616,625,077.50 and 1,455,172,519.50 is: 3,434,059,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,625,077.50 : 1,455,172,519.50 = 1,455,172,519.50 : x
  2. Step 2: Convert to fraction form
    616,625,077.50/1,455,172,519.50 = 1,455,172,519.50/x
  3. Step 3: Cross multiply
    616,625,077.50x = 1,455,172,519.50 × 1,455,172,519.50
  4. Step 4: Simplify right side
    616,625,077.50x = 2,117,527,061,507,977,984
  5. Step 5: Solve for x
    x = 2,117,527,061,507,977,984/616,625,077.50
  6. Step 6: Final answer
    x = 3,434,059,266.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.