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Finding the Third Proportional to 8,506,771 and 18,666,913

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Solution

The third proportional to 8,506,771 and 18,666,913 is: 40,961,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506,771 : 18,666,913 = 18,666,913 : x
  2. Step 2: Convert to fraction form
    8,506,771/18,666,913 = 18,666,913/x
  3. Step 3: Cross multiply
    8,506,771x = 18,666,913 × 18,666,913
  4. Step 4: Simplify right side
    8,506,771x = 348,453,640,949,569
  5. Step 5: Solve for x
    x = 348,453,640,949,569/8,506,771
  6. Step 6: Final answer
    x = 40,961,916.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.