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Finding the Third Proportional to 53,403,384 and 109,637,836

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Solution

The third proportional to 53,403,384 and 109,637,836 is: 225,087,891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,403,384 : 109,637,836 = 109,637,836 : x
  2. Step 2: Convert to fraction form
    53,403,384/109,637,836 = 109,637,836/x
  3. Step 3: Cross multiply
    53,403,384x = 109,637,836 × 109,637,836
  4. Step 4: Simplify right side
    53,403,384x = 12,020,455,082,762,896
  5. Step 5: Solve for x
    x = 12,020,455,082,762,896/53,403,384
  6. Step 6: Final answer
    x = 225,087,891.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.