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Finding the Third Proportional to 52,838,877 and 107,163,461

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Solution

The third proportional to 52,838,877 and 107,163,461 is: 217,340,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,838,877 : 107,163,461 = 107,163,461 : x
  2. Step 2: Convert to fraction form
    52,838,877/107,163,461 = 107,163,461/x
  3. Step 3: Cross multiply
    52,838,877x = 107,163,461 × 107,163,461
  4. Step 4: Simplify right side
    52,838,877x = 11,484,007,373,498,520
  5. Step 5: Solve for x
    x = 11,484,007,373,498,520/52,838,877
  6. Step 6: Final answer
    x = 217,340,110.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.