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Finding the Third Proportional to 71,023,907,154 and 154,550,882,904

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Solution

The third proportional to 71,023,907,154 and 154,550,882,904 is: 336,308,946,713.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,023,907,154 : 154,550,882,904 = 154,550,882,904 : x
  2. Step 2: Convert to fraction form
    71,023,907,154/154,550,882,904 = 154,550,882,904/x
  3. Step 3: Cross multiply
    71,023,907,154x = 154,550,882,904 × 154,550,882,904
  4. Step 4: Simplify right side
    71,023,907,154x = 23,885,975,406,405,918,654,464
  5. Step 5: Solve for x
    x = 23,885,975,406,405,918,654,464/71,023,907,154
  6. Step 6: Final answer
    x = 336,308,946,713.03

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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.