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Finding the Third Proportional to 9,272,731 and 14,184,461

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Solution

The third proportional to 9,272,731 and 14,184,461 is: 21,697,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272,731 : 14,184,461 = 14,184,461 : x
  2. Step 2: Convert to fraction form
    9,272,731/14,184,461 = 14,184,461/x
  3. Step 3: Cross multiply
    9,272,731x = 14,184,461 × 14,184,461
  4. Step 4: Simplify right side
    9,272,731x = 201,198,933,860,521
  5. Step 5: Solve for x
    x = 201,198,933,860,521/9,272,731
  6. Step 6: Final answer
    x = 21,697,915.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.