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Finding the Third Proportional to 122,711,232 and 272,662,614

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Solution

The third proportional to 122,711,232 and 272,662,614 is: 605,852,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,711,232 : 272,662,614 = 272,662,614 : x
  2. Step 2: Convert to fraction form
    122,711,232/272,662,614 = 272,662,614/x
  3. Step 3: Cross multiply
    122,711,232x = 272,662,614 × 272,662,614
  4. Step 4: Simplify right side
    122,711,232x = 74,344,901,073,312,992
  5. Step 5: Solve for x
    x = 74,344,901,073,312,992/122,711,232
  6. Step 6: Final answer
    x = 605,852,454.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.