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Finding the Third Proportional to 21,704,768 and 47,183,487

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Solution

The third proportional to 21,704,768 and 47,183,487 is: 102,571,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704,768 : 47,183,487 = 47,183,487 : x
  2. Step 2: Convert to fraction form
    21,704,768/47,183,487 = 47,183,487/x
  3. Step 3: Cross multiply
    21,704,768x = 47,183,487 × 47,183,487
  4. Step 4: Simplify right side
    21,704,768x = 2,226,281,445,479,169
  5. Step 5: Solve for x
    x = 2,226,281,445,479,169/21,704,768
  6. Step 6: Final answer
    x = 102,571,077.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.