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Finding the Third Proportional to 77,976,602 and 121,229,472

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Solution

The third proportional to 77,976,602 and 121,229,472 is: 188,474,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976,602 : 121,229,472 = 121,229,472 : x
  2. Step 2: Convert to fraction form
    77,976,602/121,229,472 = 121,229,472/x
  3. Step 3: Cross multiply
    77,976,602x = 121,229,472 × 121,229,472
  4. Step 4: Simplify right side
    77,976,602x = 14,696,584,881,398,784
  5. Step 5: Solve for x
    x = 14,696,584,881,398,784/77,976,602
  6. Step 6: Final answer
    x = 188,474,292.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.