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Finding the Third Proportional to 75,313,860,093 and 163,866,029,583

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Solution

The third proportional to 75,313,860,093 and 163,866,029,583 is: 356,535,644,543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313,860,093 : 163,866,029,583 = 163,866,029,583 : x
  2. Step 2: Convert to fraction form
    75,313,860,093/163,866,029,583 = 163,866,029,583/x
  3. Step 3: Cross multiply
    75,313,860,093x = 163,866,029,583 × 163,866,029,583
  4. Step 4: Simplify right side
    75,313,860,093x = 26,852,075,651,296,630,145,024
  5. Step 5: Solve for x
    x = 26,852,075,651,296,630,145,024/75,313,860,093
  6. Step 6: Final answer
    x = 356,535,644,543.23

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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.