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Finding the Third Proportional to 4,592,330,057,316 and 9,839,693,286,039

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Solution

The third proportional to 4,592,330,057,316 and 9,839,693,286,039 is: 21,082,884,451,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592,330,057,316 : 9,839,693,286,039 = 9,839,693,286,039 : x
  2. Step 2: Convert to fraction form
    4,592,330,057,316/9,839,693,286,039 = 9,839,693,286,039/x
  3. Step 3: Cross multiply
    4,592,330,057,316x = 9,839,693,286,039 × 9,839,693,286,039
  4. Step 4: Simplify right side
    4,592,330,057,316x = 96,819,563,963,320,977,644,847,104
  5. Step 5: Solve for x
    x = 96,819,563,963,320,977,644,847,104/4,592,330,057,316
  6. Step 6: Final answer
    x = 21,082,884,451,887.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.