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Finding the Third Proportional to 4,644,102 and 9,852,447

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Solution

The third proportional to 4,644,102 and 9,852,447 is: 20,901,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644,102 : 9,852,447 = 9,852,447 : x
  2. Step 2: Convert to fraction form
    4,644,102/9,852,447 = 9,852,447/x
  3. Step 3: Cross multiply
    4,644,102x = 9,852,447 × 9,852,447
  4. Step 4: Simplify right side
    4,644,102x = 97,070,711,887,809
  5. Step 5: Solve for x
    x = 97,070,711,887,809/4,644,102
  6. Step 6: Final answer
    x = 20,901,933.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.