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Finding the Third Proportional to 1,838,398,001.63 and 3,932,385,894

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Solution

The third proportional to 1,838,398,001.63 and 3,932,385,894 is: 8,411,485,872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838,398,001.63 : 3,932,385,894 = 3,932,385,894 : x
  2. Step 2: Convert to fraction form
    1,838,398,001.63/3,932,385,894 = 3,932,385,894/x
  3. Step 3: Cross multiply
    1,838,398,001.63x = 3,932,385,894 × 3,932,385,894
  4. Step 4: Simplify right side
    1,838,398,001.63x = 15,463,658,819,330,179,072
  5. Step 5: Solve for x
    x = 15,463,658,819,330,179,072/1,838,398,001.63
  6. Step 6: Final answer
    x = 8,411,485,872.84

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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.