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Finding the Third Proportional to 2,039,149,285 and 3,148,803,365

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Solution

The third proportional to 2,039,149,285 and 3,148,803,365 is: 4,862,303,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,149,285 : 3,148,803,365 = 3,148,803,365 : x
  2. Step 2: Convert to fraction form
    2,039,149,285/3,148,803,365 = 3,148,803,365/x
  3. Step 3: Cross multiply
    2,039,149,285x = 3,148,803,365 × 3,148,803,365
  4. Step 4: Simplify right side
    2,039,149,285x = 9,914,962,631,435,323,392
  5. Step 5: Solve for x
    x = 9,914,962,631,435,323,392/2,039,149,285
  6. Step 6: Final answer
    x = 4,862,303,463.69

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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.