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Finding the Third Proportional to 1,129,117,364 and 2,351,025,142

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Solution

The third proportional to 1,129,117,364 and 2,351,025,142 is: 4,895,256,591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,117,364 : 2,351,025,142 = 2,351,025,142 : x
  2. Step 2: Convert to fraction form
    1,129,117,364/2,351,025,142 = 2,351,025,142/x
  3. Step 3: Cross multiply
    1,129,117,364x = 2,351,025,142 × 2,351,025,142
  4. Step 4: Simplify right side
    1,129,117,364x = 5,527,319,218,316,120,064
  5. Step 5: Solve for x
    x = 5,527,319,218,316,120,064/1,129,117,364
  6. Step 6: Final answer
    x = 4,895,256,591.16

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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.