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Finding the Third Proportional to 9,768,426 and 14,359,956

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Solution

The third proportional to 9,768,426 and 14,359,956 is: 21,109,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768,426 : 14,359,956 = 14,359,956 : x
  2. Step 2: Convert to fraction form
    9,768,426/14,359,956 = 14,359,956/x
  3. Step 3: Cross multiply
    9,768,426x = 14,359,956 × 14,359,956
  4. Step 4: Simplify right side
    9,768,426x = 206,208,336,321,936
  5. Step 5: Solve for x
    x = 206,208,336,321,936/9,768,426
  6. Step 6: Final answer
    x = 21,109,678.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.