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Finding the Third Proportional to 77,021,012 and 169,159,336

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Solution

The third proportional to 77,021,012 and 169,159,336 is: 371,520,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,021,012 : 169,159,336 = 169,159,336 : x
  2. Step 2: Convert to fraction form
    77,021,012/169,159,336 = 169,159,336/x
  3. Step 3: Cross multiply
    77,021,012x = 169,159,336 × 169,159,336
  4. Step 4: Simplify right side
    77,021,012x = 28,614,880,955,960,896
  5. Step 5: Solve for x
    x = 28,614,880,955,960,896/77,021,012
  6. Step 6: Final answer
    x = 371,520,448.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.