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Finding the Third Proportional to 47,275,102 and 103,518,272

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Solution

The third proportional to 47,275,102 and 103,518,272 is: 226,673,918.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275,102 : 103,518,272 = 103,518,272 : x
  2. Step 2: Convert to fraction form
    47,275,102/103,518,272 = 103,518,272/x
  3. Step 3: Cross multiply
    47,275,102x = 103,518,272 × 103,518,272
  4. Step 4: Simplify right side
    47,275,102x = 10,716,032,637,865,984
  5. Step 5: Solve for x
    x = 10,716,032,637,865,984/47,275,102
  6. Step 6: Final answer
    x = 226,673,918.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.