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Finding the Third Proportional to 9,004,757,042 and 19,559,631,982

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Solution

The third proportional to 9,004,757,042 and 19,559,631,982 is: 42,486,343,772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004,757,042 : 19,559,631,982 = 19,559,631,982 : x
  2. Step 2: Convert to fraction form
    9,004,757,042/19,559,631,982 = 19,559,631,982/x
  3. Step 3: Cross multiply
    9,004,757,042x = 19,559,631,982 × 19,559,631,982
  4. Step 4: Simplify right side
    9,004,757,042x = 382,579,203,271,277,215,744
  5. Step 5: Solve for x
    x = 382,579,203,271,277,215,744/9,004,757,042
  6. Step 6: Final answer
    x = 42,486,343,772.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.