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Finding the Third Proportional to 74,929,171,110 and 161,800,752,603

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Solution

The third proportional to 74,929,171,110 and 161,800,752,603 is: 349,389,739,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,929,171,110 : 161,800,752,603 = 161,800,752,603 : x
  2. Step 2: Convert to fraction form
    74,929,171,110/161,800,752,603 = 161,800,752,603/x
  3. Step 3: Cross multiply
    74,929,171,110x = 161,800,752,603 × 161,800,752,603
  4. Step 4: Simplify right side
    74,929,171,110x = 26,179,483,542,897,209,376,768
  5. Step 5: Solve for x
    x = 26,179,483,542,897,209,376,768/74,929,171,110
  6. Step 6: Final answer
    x = 349,389,739,070.57

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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.