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Finding the Third Proportional to 1,838,398,005 and 3,932,385,900

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Solution

The third proportional to 1,838,398,005 and 3,932,385,900 is: 8,411,485,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838,398,005 : 3,932,385,900 = 3,932,385,900 : x
  2. Step 2: Convert to fraction form
    1,838,398,005/3,932,385,900 = 3,932,385,900/x
  3. Step 3: Cross multiply
    1,838,398,005x = 3,932,385,900 × 3,932,385,900
  4. Step 4: Simplify right side
    1,838,398,005x = 15,463,658,866,518,810,624
  5. Step 5: Solve for x
    x = 15,463,658,866,518,810,624/1,838,398,005
  6. Step 6: Final answer
    x = 8,411,485,883.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.