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Finding the Third Proportional to 9,769,785 and 20,884,095

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Solution

The third proportional to 9,769,785 and 20,884,095 is: 44,642,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769,785 : 20,884,095 = 20,884,095 : x
  2. Step 2: Convert to fraction form
    9,769,785/20,884,095 = 20,884,095/x
  3. Step 3: Cross multiply
    9,769,785x = 20,884,095 × 20,884,095
  4. Step 4: Simplify right side
    9,769,785x = 436,145,423,969,025
  5. Step 5: Solve for x
    x = 436,145,423,969,025/9,769,785
  6. Step 6: Final answer
    x = 44,642,274.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.