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Finding the Third Proportional to 8,966,846 and 19,209,267

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Solution

The third proportional to 8,966,846 and 19,209,267 is: 41,151,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966,846 : 19,209,267 = 19,209,267 : x
  2. Step 2: Convert to fraction form
    8,966,846/19,209,267 = 19,209,267/x
  3. Step 3: Cross multiply
    8,966,846x = 19,209,267 × 19,209,267
  4. Step 4: Simplify right side
    8,966,846x = 368,995,938,677,289
  5. Step 5: Solve for x
    x = 368,995,938,677,289/8,966,846
  6. Step 6: Final answer
    x = 41,151,140.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.