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Finding the Third Proportional to 7,649,802 and 16,645,464

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Solution

The third proportional to 7,649,802 and 16,645,464 is: 36,219,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649,802 : 16,645,464 = 16,645,464 : x
  2. Step 2: Convert to fraction form
    7,649,802/16,645,464 = 16,645,464/x
  3. Step 3: Cross multiply
    7,649,802x = 16,645,464 × 16,645,464
  4. Step 4: Simplify right side
    7,649,802x = 277,071,471,775,296
  5. Step 5: Solve for x
    x = 277,071,471,775,296/7,649,802
  6. Step 6: Final answer
    x = 36,219,430.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.