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Finding the Third Proportional to 13,636,586,434,728 and 29,673,762,016,672

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Solution

The third proportional to 13,636,586,434,728 and 29,673,762,016,672 is: 64,571,302,828,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636,586,434,728 : 29,673,762,016,672 = 29,673,762,016,672 : x
  2. Step 2: Convert to fraction form
    13,636,586,434,728/29,673,762,016,672 = 29,673,762,016,672/x
  3. Step 3: Cross multiply
    13,636,586,434,728x = 29,673,762,016,672 × 29,673,762,016,672
  4. Step 4: Simplify right side
    13,636,586,434,728x = 880,532,152,222,085,854,852,546,560
  5. Step 5: Solve for x
    x = 880,532,152,222,085,854,852,546,560/13,636,586,434,728
  6. Step 6: Final answer
    x = 64,571,302,828,371.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.