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Finding the Third Proportional to 9,646,364 and 14,929,704

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Solution

The third proportional to 9,646,364 and 14,929,704 is: 23,106,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,364 : 14,929,704 = 14,929,704 : x
  2. Step 2: Convert to fraction form
    9,646,364/14,929,704 = 14,929,704/x
  3. Step 3: Cross multiply
    9,646,364x = 14,929,704 × 14,929,704
  4. Step 4: Simplify right side
    9,646,364x = 222,896,061,527,616
  5. Step 5: Solve for x
    x = 222,896,061,527,616/9,646,364
  6. Step 6: Final answer
    x = 23,106,743.80

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