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Finding the Third Proportional to 77,534,364 and 169,152,024

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Solution

The third proportional to 77,534,364 and 169,152,024 is: 369,028,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,534,364 : 169,152,024 = 169,152,024 : x
  2. Step 2: Convert to fraction form
    77,534,364/169,152,024 = 169,152,024/x
  3. Step 3: Cross multiply
    77,534,364x = 169,152,024 × 169,152,024
  4. Step 4: Simplify right side
    77,534,364x = 28,612,407,223,296,576
  5. Step 5: Solve for x
    x = 28,612,407,223,296,576/77,534,364
  6. Step 6: Final answer
    x = 369,028,721.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.