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Finding the Third Proportional to 4,592,330,057,319 and 9,839,693,286,045

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Solution

The third proportional to 4,592,330,057,319 and 9,839,693,286,045 is: 21,082,884,451,898.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592,330,057,319 : 9,839,693,286,045 = 9,839,693,286,045 : x
  2. Step 2: Convert to fraction form
    4,592,330,057,319/9,839,693,286,045 = 9,839,693,286,045/x
  3. Step 3: Cross multiply
    4,592,330,057,319x = 9,839,693,286,045 × 9,839,693,286,045
  4. Step 4: Simplify right side
    4,592,330,057,319x = 96,819,563,963,439,054,885,748,736
  5. Step 5: Solve for x
    x = 96,819,563,963,439,054,885,748,736/4,592,330,057,319
  6. Step 6: Final answer
    x = 21,082,884,451,898.97

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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.