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Finding the Third Proportional to 9,584,299,954,272 and 19,435,294,250,052

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Solution

The third proportional to 9,584,299,954,272 and 19,435,294,250,052 is: 39,411,398,264,694.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584,299,954,272 : 19,435,294,250,052 = 19,435,294,250,052 : x
  2. Step 2: Convert to fraction form
    9,584,299,954,272/19,435,294,250,052 = 19,435,294,250,052/x
  3. Step 3: Cross multiply
    9,584,299,954,272x = 19,435,294,250,052 × 19,435,294,250,052
  4. Step 4: Simplify right side
    9,584,299,954,272x = 377,730,662,586,104,354,950,873,088
  5. Step 5: Solve for x
    x = 377,730,662,586,104,354,950,873,088/9,584,299,954,272
  6. Step 6: Final answer
    x = 39,411,398,264,694.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.