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Finding the Third Proportional to 473,223,508,136 and 1,115,992,415,828

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Solution

The third proportional to 473,223,508,136 and 1,115,992,415,828 is: 2,631,819,955,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,223,508,136 : 1,115,992,415,828 = 1,115,992,415,828 : x
  2. Step 2: Convert to fraction form
    473,223,508,136/1,115,992,415,828 = 1,115,992,415,828/x
  3. Step 3: Cross multiply
    473,223,508,136x = 1,115,992,415,828 × 1,115,992,415,828
  4. Step 4: Simplify right side
    473,223,508,136x = 1,245,439,072,185,615,795,617,792
  5. Step 5: Solve for x
    x = 1,245,439,072,185,615,795,617,792/473,223,508,136
  6. Step 6: Final answer
    x = 2,631,819,955,630.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.