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Finding the Third Proportional to 9,768,356 and 14,359,852

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Solution

The third proportional to 9,768,356 and 14,359,852 is: 21,109,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768,356 : 14,359,852 = 14,359,852 : x
  2. Step 2: Convert to fraction form
    9,768,356/14,359,852 = 14,359,852/x
  3. Step 3: Cross multiply
    9,768,356x = 14,359,852 × 14,359,852
  4. Step 4: Simplify right side
    9,768,356x = 206,205,349,461,904
  5. Step 5: Solve for x
    x = 206,205,349,461,904/9,768,356
  6. Step 6: Final answer
    x = 21,109,524.41

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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.