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Finding the Third Proportional to 216,001,362 and 475,069,128

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Solution

The third proportional to 216,001,362 and 475,069,128 is: 1,044,857,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,001,362 : 475,069,128 = 475,069,128 : x
  2. Step 2: Convert to fraction form
    216,001,362/475,069,128 = 475,069,128/x
  3. Step 3: Cross multiply
    216,001,362x = 475,069,128 × 475,069,128
  4. Step 4: Simplify right side
    216,001,362x = 225,690,676,378,680,384
  5. Step 5: Solve for x
    x = 225,690,676,378,680,384/216,001,362
  6. Step 6: Final answer
    x = 1,044,857,654.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.