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Finding the Third Proportional to 122,711,242 and 272,662,634

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Solution

The third proportional to 122,711,242 and 272,662,634 is: 605,852,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,711,242 : 272,662,634 = 272,662,634 : x
  2. Step 2: Convert to fraction form
    122,711,242/272,662,634 = 272,662,634/x
  3. Step 3: Cross multiply
    122,711,242x = 272,662,634 × 272,662,634
  4. Step 4: Simplify right side
    122,711,242x = 74,344,911,979,817,952
  5. Step 5: Solve for x
    x = 74,344,911,979,817,952/122,711,242
  6. Step 6: Final answer
    x = 605,852,493.77

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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.