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Finding the Third Proportional to 572,715,385,920 and 861,464,165,184

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Solution

The third proportional to 572,715,385,920 and 861,464,165,184 is: 1,295,792,860,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,715,385,920 : 861,464,165,184 = 861,464,165,184 : x
  2. Step 2: Convert to fraction form
    572,715,385,920/861,464,165,184 = 861,464,165,184/x
  3. Step 3: Cross multiply
    572,715,385,920x = 861,464,165,184 × 861,464,165,184
  4. Step 4: Simplify right side
    572,715,385,920x = 742,120,507,896,166,002,720,768
  5. Step 5: Solve for x
    x = 742,120,507,896,166,002,720,768/572,715,385,920
  6. Step 6: Final answer
    x = 1,295,792,860,015.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.