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Finding the Third Proportional to 401,673,920,400 and 873,952,157,592

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Solution

The third proportional to 401,673,920,400 and 873,952,157,592 is: 1,901,523,437,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,673,920,400 : 873,952,157,592 = 873,952,157,592 : x
  2. Step 2: Convert to fraction form
    401,673,920,400/873,952,157,592 = 873,952,157,592/x
  3. Step 3: Cross multiply
    401,673,920,400x = 873,952,157,592 × 873,952,157,592
  4. Step 4: Simplify right side
    401,673,920,400x = 763,792,373,759,712,044,253,184
  5. Step 5: Solve for x
    x = 763,792,373,759,712,044,253,184/401,673,920,400
  6. Step 6: Final answer
    x = 1,901,523,437,217.69

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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.