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Finding the Third Proportional to 1,024,996,056 and 1,530,777,366

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Solution

The third proportional to 1,024,996,056 and 1,530,777,366 is: 2,286,134,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,996,056 : 1,530,777,366 = 1,530,777,366 : x
  2. Step 2: Convert to fraction form
    1,024,996,056/1,530,777,366 = 1,530,777,366/x
  3. Step 3: Cross multiply
    1,024,996,056x = 1,530,777,366 × 1,530,777,366
  4. Step 4: Simplify right side
    1,024,996,056x = 2,343,279,344,257,897,984
  5. Step 5: Solve for x
    x = 2,343,279,344,257,897,984/1,024,996,056
  6. Step 6: Final answer
    x = 2,286,134,986.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.