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Finding the Third Proportional to 9,646,328 and 14,929,653

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Solution

The third proportional to 9,646,328 and 14,929,653 is: 23,106,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,328 : 14,929,653 = 14,929,653 : x
  2. Step 2: Convert to fraction form
    9,646,328/14,929,653 = 14,929,653/x
  3. Step 3: Cross multiply
    9,646,328x = 14,929,653 × 14,929,653
  4. Step 4: Simplify right side
    9,646,328x = 222,894,538,700,409
  5. Step 5: Solve for x
    x = 222,894,538,700,409/9,646,328
  6. Step 6: Final answer
    x = 23,106,672.17

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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.