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Finding the Third Proportional to 4,817,965 and 10,429,801

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Solution

The third proportional to 4,817,965 and 10,429,801 is: 22,578,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817,965 : 10,429,801 = 10,429,801 : x
  2. Step 2: Convert to fraction form
    4,817,965/10,429,801 = 10,429,801/x
  3. Step 3: Cross multiply
    4,817,965x = 10,429,801 × 10,429,801
  4. Step 4: Simplify right side
    4,817,965x = 108,780,748,899,601
  5. Step 5: Solve for x
    x = 108,780,748,899,601/4,817,965
  6. Step 6: Final answer
    x = 22,578,152.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.