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Finding the Third Proportional to 9,212,507,842 and 19,892,988,620

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Solution

The third proportional to 9,212,507,842 and 19,892,988,620 is: 42,955,838,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212,507,842 : 19,892,988,620 = 19,892,988,620 : x
  2. Step 2: Convert to fraction form
    9,212,507,842/19,892,988,620 = 19,892,988,620/x
  3. Step 3: Cross multiply
    9,212,507,842x = 19,892,988,620 × 19,892,988,620
  4. Step 4: Simplify right side
    9,212,507,842x = 395,730,996,235,449,532,416
  5. Step 5: Solve for x
    x = 395,730,996,235,449,532,416/9,212,507,842
  6. Step 6: Final answer
    x = 42,955,838,195.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.