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Finding the Third Proportional to 75,313,860,097 and 163,866,029,591

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Solution

The third proportional to 75,313,860,097 and 163,866,029,591 is: 356,535,644,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313,860,097 : 163,866,029,591 = 163,866,029,591 : x
  2. Step 2: Convert to fraction form
    75,313,860,097/163,866,029,591 = 163,866,029,591/x
  3. Step 3: Cross multiply
    75,313,860,097x = 163,866,029,591 × 163,866,029,591
  4. Step 4: Simplify right side
    75,313,860,097x = 26,852,075,653,918,489,575,424
  5. Step 5: Solve for x
    x = 26,852,075,653,918,489,575,424/75,313,860,097
  6. Step 6: Final answer
    x = 356,535,644,559.11

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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.