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Finding the Third Proportional to 9,212,507,624 and 19,892,988,148

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Solution

The third proportional to 9,212,507,624 and 19,892,988,148 is: 42,955,837,173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212,507,624 : 19,892,988,148 = 19,892,988,148 : x
  2. Step 2: Convert to fraction form
    9,212,507,624/19,892,988,148 = 19,892,988,148/x
  3. Step 3: Cross multiply
    9,212,507,624x = 19,892,988,148 × 19,892,988,148
  4. Step 4: Simplify right side
    9,212,507,624x = 395,730,977,456,468,459,520
  5. Step 5: Solve for x
    x = 395,730,977,456,468,459,520/9,212,507,624
  6. Step 6: Final answer
    x = 42,955,837,173.53

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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.