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Finding the Third Proportional to 2,039,149,263 and 3,148,803,324

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Solution

The third proportional to 2,039,149,263 and 3,148,803,324 is: 4,862,303,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,149,263 : 3,148,803,324 = 3,148,803,324 : x
  2. Step 2: Convert to fraction form
    2,039,149,263/3,148,803,324 = 3,148,803,324/x
  3. Step 3: Cross multiply
    2,039,149,263x = 3,148,803,324 × 3,148,803,324
  4. Step 4: Simplify right side
    2,039,149,263x = 9,914,962,373,233,448,960
  5. Step 5: Solve for x
    x = 9,914,962,373,233,448,960/2,039,149,263
  6. Step 6: Final answer
    x = 4,862,303,389.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.