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Finding the Third Proportional to 8,461,051 and 12,889,864

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Solution

The third proportional to 8,461,051 and 12,889,864 is: 19,636,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,051 : 12,889,864 = 12,889,864 : x
  2. Step 2: Convert to fraction form
    8,461,051/12,889,864 = 12,889,864/x
  3. Step 3: Cross multiply
    8,461,051x = 12,889,864 × 12,889,864
  4. Step 4: Simplify right side
    8,461,051x = 166,148,593,938,496
  5. Step 5: Solve for x
    x = 166,148,593,938,496/8,461,051
  6. Step 6: Final answer
    x = 19,636,874.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.