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Finding the Third Proportional to 75,566,902,112 and 174,942,010,352

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Solution

The third proportional to 75,566,902,112 and 174,942,010,352 is: 405,001,477,242.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,566,902,112 : 174,942,010,352 = 174,942,010,352 : x
  2. Step 2: Convert to fraction form
    75,566,902,112/174,942,010,352 = 174,942,010,352/x
  3. Step 3: Cross multiply
    75,566,902,112x = 174,942,010,352 × 174,942,010,352
  4. Step 4: Simplify right side
    75,566,902,112x = 30,604,706,985,999,276,703,744
  5. Step 5: Solve for x
    x = 30,604,706,985,999,276,703,744/75,566,902,112
  6. Step 6: Final answer
    x = 405,001,477,242.50

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.