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Finding the Third Proportional to 1,129,117,365 and 2,351,025,144

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Solution

The third proportional to 1,129,117,365 and 2,351,025,144 is: 4,895,256,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,117,365 : 2,351,025,144 = 2,351,025,144 : x
  2. Step 2: Convert to fraction form
    1,129,117,365/2,351,025,144 = 2,351,025,144/x
  3. Step 3: Cross multiply
    1,129,117,365x = 2,351,025,144 × 2,351,025,144
  4. Step 4: Simplify right side
    1,129,117,365x = 5,527,319,227,720,220,672
  5. Step 5: Solve for x
    x = 5,527,319,227,720,220,672/1,129,117,365
  6. Step 6: Final answer
    x = 4,895,256,595.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.