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Finding the Third Proportional to 4,644,972 and 10,037,284

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Solution

The third proportional to 4,644,972 and 10,037,284 is: 21,689,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644,972 : 10,037,284 = 10,037,284 : x
  2. Step 2: Convert to fraction form
    4,644,972/10,037,284 = 10,037,284/x
  3. Step 3: Cross multiply
    4,644,972x = 10,037,284 × 10,037,284
  4. Step 4: Simplify right side
    4,644,972x = 100,747,070,096,656
  5. Step 5: Solve for x
    x = 100,747,070,096,656/4,644,972
  6. Step 6: Final answer
    x = 21,689,489.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.