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Finding the Third Proportional to 117,714,897 and 274,947,642

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Solution

The third proportional to 117,714,897 and 274,947,642 is: 642,197,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,714,897 : 274,947,642 = 274,947,642 : x
  2. Step 2: Convert to fraction form
    117,714,897/274,947,642 = 274,947,642/x
  3. Step 3: Cross multiply
    117,714,897x = 274,947,642 × 274,947,642
  4. Step 4: Simplify right side
    117,714,897x = 75,596,205,841,360,160
  5. Step 5: Solve for x
    x = 75,596,205,841,360,160/117,714,897
  6. Step 6: Final answer
    x = 642,197,442.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.