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Finding the Third Proportional to 9,729,510 and 14,924,106

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Solution

The third proportional to 9,729,510 and 14,924,106 is: 22,892,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729,510 : 14,924,106 = 14,924,106 : x
  2. Step 2: Convert to fraction form
    9,729,510/14,924,106 = 14,924,106/x
  3. Step 3: Cross multiply
    9,729,510x = 14,924,106 × 14,924,106
  4. Step 4: Simplify right side
    9,729,510x = 222,728,939,899,236
  5. Step 5: Solve for x
    x = 222,728,939,899,236/9,729,510
  6. Step 6: Final answer
    x = 22,892,102.47

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