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Finding the Third Proportional to 387,875,384 and 837,279,664

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Solution

The third proportional to 387,875,384 and 837,279,664 is: 1,807,377,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,875,384 : 837,279,664 = 837,279,664 : x
  2. Step 2: Convert to fraction form
    387,875,384/837,279,664 = 837,279,664/x
  3. Step 3: Cross multiply
    387,875,384x = 837,279,664 × 837,279,664
  4. Step 4: Simplify right side
    387,875,384x = 701,037,235,747,952,896
  5. Step 5: Solve for x
    x = 701,037,235,747,952,896/387,875,384
  6. Step 6: Final answer
    x = 1,807,377,484.28

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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.