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Finding the Third Proportional to 387,852,344 and 837,238,120

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Solution

The third proportional to 387,852,344 and 837,238,120 is: 1,807,305,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,852,344 : 837,238,120 = 837,238,120 : x
  2. Step 2: Convert to fraction form
    387,852,344/837,238,120 = 837,238,120/x
  3. Step 3: Cross multiply
    387,852,344x = 837,238,120 × 837,238,120
  4. Step 4: Simplify right side
    387,852,344x = 700,967,669,581,134,336
  5. Step 5: Solve for x
    x = 700,967,669,581,134,336/387,852,344
  6. Step 6: Final answer
    x = 1,807,305,487.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.