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Finding the Third Proportional to 1,024,996,014.75 and 1,530,777,312.75

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Solution

The third proportional to 1,024,996,014.75 and 1,530,777,312.75 is: 2,286,134,919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,996,014.75 : 1,530,777,312.75 = 1,530,777,312.75 : x
  2. Step 2: Convert to fraction form
    1,024,996,014.75/1,530,777,312.75 = 1,530,777,312.75/x
  3. Step 3: Cross multiply
    1,024,996,014.75x = 1,530,777,312.75 × 1,530,777,312.75
  4. Step 4: Simplify right side
    1,024,996,014.75x = 2,343,279,181,230,111,232
  5. Step 5: Solve for x
    x = 2,343,279,181,230,111,232/1,024,996,014.75
  6. Step 6: Final answer
    x = 2,286,134,919.07

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Why These Related Problems?

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