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Finding the Third Proportional to 74,929,171,060 and 161,800,752,500

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Solution

The third proportional to 74,929,171,060 and 161,800,752,500 is: 349,389,738,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,929,171,060 : 161,800,752,500 = 161,800,752,500 : x
  2. Step 2: Convert to fraction form
    74,929,171,060/161,800,752,500 = 161,800,752,500/x
  3. Step 3: Cross multiply
    74,929,171,060x = 161,800,752,500 × 161,800,752,500
  4. Step 4: Simplify right side
    74,929,171,060x = 26,179,483,509,566,258,282,496
  5. Step 5: Solve for x
    x = 26,179,483,509,566,258,282,496/74,929,171,060
  6. Step 6: Final answer
    x = 349,389,738,858.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.