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Finding the Third Proportional to 77,576,674 and 168,773,490

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Solution

The third proportional to 77,576,674 and 168,773,490 is: 367,178,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,576,674 : 168,773,490 = 168,773,490 : x
  2. Step 2: Convert to fraction form
    77,576,674/168,773,490 = 168,773,490/x
  3. Step 3: Cross multiply
    77,576,674x = 168,773,490 × 168,773,490
  4. Step 4: Simplify right side
    77,576,674x = 28,484,490,926,780,100
  5. Step 5: Solve for x
    x = 28,484,490,926,780,100/77,576,674
  6. Step 6: Final answer
    x = 367,178,553.27

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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.