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Finding the Third Proportional to 46,957,751 and 101,732,272

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Solution

The third proportional to 46,957,751 and 101,732,272 is: 220,399,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,957,751 : 101,732,272 = 101,732,272 : x
  2. Step 2: Convert to fraction form
    46,957,751/101,732,272 = 101,732,272/x
  3. Step 3: Cross multiply
    46,957,751x = 101,732,272 × 101,732,272
  4. Step 4: Simplify right side
    46,957,751x = 10,349,455,166,281,984
  5. Step 5: Solve for x
    x = 10,349,455,166,281,984/46,957,751
  6. Step 6: Final answer
    x = 220,399,293.96

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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.