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Finding the Third Proportional to 75,313,860,068 and 163,866,029,534

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Solution

The third proportional to 75,313,860,068 and 163,866,029,534 is: 356,535,644,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313,860,068 : 163,866,029,534 = 163,866,029,534 : x
  2. Step 2: Convert to fraction form
    75,313,860,068/163,866,029,534 = 163,866,029,534/x
  3. Step 3: Cross multiply
    75,313,860,068x = 163,866,029,534 × 163,866,029,534
  4. Step 4: Simplify right side
    75,313,860,068x = 26,852,075,635,237,760,008,192
  5. Step 5: Solve for x
    x = 26,852,075,635,237,760,008,192/75,313,860,068
  6. Step 6: Final answer
    x = 356,535,644,448.36

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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.