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Finding the Third Proportional to 10,317,267 and 21,863,466

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Solution

The third proportional to 10,317,267 and 21,863,466 is: 46,331,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,317,267 : 21,863,466 = 21,863,466 : x
  2. Step 2: Convert to fraction form
    10,317,267/21,863,466 = 21,863,466/x
  3. Step 3: Cross multiply
    10,317,267x = 21,863,466 × 21,863,466
  4. Step 4: Simplify right side
    10,317,267x = 478,011,145,533,156
  5. Step 5: Solve for x
    x = 478,011,145,533,156/10,317,267
  6. Step 6: Final answer
    x = 46,331,179.13

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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.