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Finding the Third Proportional to 10,266,032 and 15,894,120

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Solution

The third proportional to 10,266,032 and 15,894,120 is: 24,607,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266,032 : 15,894,120 = 15,894,120 : x
  2. Step 2: Convert to fraction form
    10,266,032/15,894,120 = 15,894,120/x
  3. Step 3: Cross multiply
    10,266,032x = 15,894,120 × 15,894,120
  4. Step 4: Simplify right side
    10,266,032x = 252,623,050,574,400
  5. Step 5: Solve for x
    x = 252,623,050,574,400/10,266,032
  6. Step 6: Final answer
    x = 24,607,662.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.