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Finding the Third Proportional to 427,907,381,000 and 932,701,553,328

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Solution

The third proportional to 427,907,381,000 and 932,701,553,328 is: 2,032,991,778,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,907,381,000 : 932,701,553,328 = 932,701,553,328 : x
  2. Step 2: Convert to fraction form
    427,907,381,000/932,701,553,328 = 932,701,553,328/x
  3. Step 3: Cross multiply
    427,907,381,000x = 932,701,553,328 × 932,701,553,328
  4. Step 4: Simplify right side
    427,907,381,000x = 869,932,187,580,463,988,080,640
  5. Step 5: Solve for x
    x = 869,932,187,580,463,988,080,640/427,907,381,000
  6. Step 6: Final answer
    x = 2,032,991,778,612.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.